Online courses directory (10358)
This undergraduate class is designed to introduce students to the physics that govern the circulation of the ocean and atmosphere. The focus of the course is on the processes that control the climate of the planet.
Acknowledgments
Prof. Ferrari wishes to acknowledge that this course was originally designed and taught by Prof. John Marshall.
In this course, we will look at many important aspects of the circulation of the atmosphere and ocean, from length scales of meters to thousands of km and time scales ranging from seconds to years. We will assume familiarity with concepts covered in course 12.003 (Physics of the Fluid Earth). In the early stages of the present course, we will make somewhat greater use of math than did 12.003, but the math we will use is no more than that encountered in elementary electromagnetic field theory, for example. The focus of the course is on the physics of the phenomena which we will discuss.
This course provides a detailed overview of the chemical transformations that control the abundances of key trace species in the Earth's atmosphere. Emphasizes the effects of human activity on air quality and climate. Topics include photochemistry, kinetics, and thermodynamics important to the chemistry of the atmosphere; stratospheric ozone depletion; oxidation chemistry of the troposphere; photochemical smog; aerosol chemistry; and sources and sinks of greenhouse gases and other climate forcers.
This course provides an introduction to the physics and chemistry of the atmosphere, including experience with computer codes. It is intended for undergraduates and first year graduate students.
This course provides an introduction to the physics and chemistry of the atmosphere, including experience with computer codes. It is intended for undergraduates and first year graduate students.
This is an introduction to the physics of atmospheric radiation and remote sensing including use of computer codes. Subjects covered include: radiative transfer equation including emission and scattering, spectroscopy, Mie theory, and numerical solutions. We examine the solution of inverse problems in remote sensing of atmospheric temperature and composition.
This is the first of a two-semester subject sequence that provides the foundations for contemporary research in selected areas of atomic and optical physics. Topics covered include the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
This is the second of five modules to introduce concepts and current frontiers of atomic physics and to prepare you for cutting-edge research:
8.421.2x: Atomic structure and atoms in external field
8.421.3x: Atom-Light Interactions 1 -- Matrix elements and quantized field
8.421.4x: Atom-Light interactions 2 -- Line broadening and two-photon transitions
The second module, 8.421.2x, describes atomic structure, including electronic levels, fine structure, hyperfine structure and Lamb shift. You will then learn about how electric and magnetic fields shift atomic levels. The discussion of time-dependent electric fields prepares you for the interactions of atoms with light and for the dressed atom picture.
At MIT, the content of the five modules makes the first of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these modules you will learn about the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
Completing the two-course sequence allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
FAQ
Who can register for this course?
Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.
Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
Course image uses graphic by SVG by Indolences. Recoloring and ironing out some glitches done by Rainer Klute. [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons
This is the last of five modules to introduce concepts and current frontiers of atomic physics and to prepare you for cutting-edge research:
8.421.2x: Atomic structure and atoms in external field
8.421.3x: Atom-Light Interactions 1 -- Matrix elements and quantized field
8.421.4x: Atom-Light interactions 2 -- Line broadening and two-photon transitions
8.421.5x: Coherence
This fifth module, 8.421.5x, looks at a central theme of atomic physics - coherence. This includes coherence of single atoms for two-level systems and three-level systems, and coherence between atoms, which can result in superradiant behavior.
At MIT, the content of the five modules makes the first of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these modules you will learn about the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
Completing the two-course sequence allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
FAQ
Who can register for this course?
Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.
Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
Course image uses graphic by SVG by Indolences. Recoloring and ironing out some glitches done by Rainer Klute. [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons
This is the second of a two-semester subject sequence beginning with Atomic and Optical Physics I (8.421) that provides the foundations for contemporary research in selected areas of atomic and optical physics. Topics covered include non-classical states of light–squeezed states; multi-photon processes, Raman scattering; coherence–level crossings, quantum beats, double resonance, superradiance; trapping and cooling-light forces, laser cooling, atom optics, spectroscopy of trapped atoms and ions; atomic interactions–classical collisions, quantum scattering theory, ultracold collisions; and experimental methods.
This is the first of five modules to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
8.421.1x: Resonance
8.421.2x: Atomic structure and atoms in external field
8.421.3x: Atom-Light Interactions 1 -- Matrix elements and quantized field
8.421.4x: Atom-Light interactions 2 -- Line broadening and two-photon transitions
The first module, 8.421.1x, introduces resonance as an overarching theme of the course. You will deepen your understanding of the physics of resonance by examining systems using both classical and quantum techniques. Of special importance is the precession of a magnetic moments in time-dependent magnetic fields.
At MIT, the content of the five modules makes the first of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these modules you will learn about the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
Completing the five-course sequence allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
FAQ
Who can register for this course?
Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.
Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
Course image uses graphic by SVG by Indolences. Recoloring and ironing out some glitches done by Rainer Klute. [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons
This is the third of five modules to introduce concepts and current frontiers of atomic physics and to prepare you for cutting-edge research:
8.421.2x: Atomic structure and atoms in external field
8.421.3x: Atom-Light Interactions 1 -- Matrix elements and quantized field
8.421.4x: Atom-Light interactions 2 -- Line broadening and two-photon transitions
The third module, 8.421.3x, covers how atoms interact with light. First, dipole and higher order couplings are introduced, and concrete examples for selection rules and matrix elements are given. After quantizing the electromagnetic field and introducing photons, the Jaynes-Cummings model and vacuum Rabi oscillations are presented. Coherent and incoherent time evolution are discussed, also in the framework of Einstein's A and B coefficients.
At MIT, the content of the five modules makes the first of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these modules you will learn about the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
Completing the two-course sequence allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
FAQ
Who can register for this course?
Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.
Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
Course image uses graphic by SVG by Indolences. Recoloring and ironing out some glitches done by Rainer Klute. [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons
This is the fourth of five modules to introduce concepts and current frontiers of atomic physics and to prepare you for cutting-edge research:
8.421.2x: Atomic structure and atoms in external field
8.421.3x: Atom-Light Interactions 1 -- Matrix elements and quantized field
8.421.4x: Atom-Light interactions 2 -- Line broadening and two-photon transitions
The fourth module, 8.421.4x, includes a comprehensive discussion of line broadening effects, including Doppler effect, sidebands for trapped particles, power broadening, and effects of interactions and collisions. The concept of two-photon transitions is relevant for Raman processes and light scattering.
At MIT, the content of the five modules makes the first of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these modules you will learn about the interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods.
Completing the two-course sequence allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
FAQ
Who can register for this course?
Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.
Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.
Course image uses graphic by SVG by Indolences. Recoloring and ironing out some glitches done by Rainer Klute. [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons
In this physics course, you will be introduced to the QED Hamiltonian (Quantum ElectroDynamics), and learn how to construct diagrams for light-atom interactions. Using your new tools you will study Van der Waals and Casimir interactions, resonant scattering and radiative corrections.
This course is a part of a series of courses to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
- 8.422.1x: Quantum States and Dynamics of Photons
- 8.422.2x: Atom-photon Interactions
- 8.422.3x: Optical Bloch Equations and Open System Dynamics
- 8.422.4x: Light Forces and Laser Cooling
- 8.422.5x: Ultracold Atoms and Ions for Many-body Physics and Quantum Information Science
At MIT, the content of the five courses makes the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
Completing the series allows you to pursue advanced study and research in cold atoms, as well as in specialized topics in condensed matter physics. In these five courses you will learn about the following topics:
- Quantum states and dynamics of photons
- Photon-atom interactions: basics and semiclassical approximations
- Open system dynamics
- Optical Bloch equations
- Applications and limits of the optical Bloch equations
- Dressed atoms
- Light force
- Laser cooling
- Cold atoms
- Evaporative cooling
- Bose-Einstein condensation
- Quantum algorithms and protocols
- Ion traps and magnetic traps
In this physics course, you will learn about the spontaneous and stimulated light force and friction force in molasses and optical standing waves. You will also study light forces in the dressed atom picture. The course will discuss the techniques of magneto-optical traps and sub-Doppler and sub-recoil cooling.
This course is a part of a series of courses to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
- 8.422.1x: Quantum states and dynamics of photons
- 8.422.2x: Atom-photon interactions
- 8.422.3x: Optical Bloch equations and open system dynamics
- 8.422.4x: Light forces and laser cooling
- 8.422.5x: Ultracold atoms and ions for many-body physics and quantum information science
At MIT, the content of the five courses makes the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
Completing the series allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics. In these five courses you will learn about the following topics:
- quantum states and dynamics of photons
- photon-atom interactions: basics and semiclassical approximations
- open system dynamics
- optical Bloch equations
- applications and limits of the optical Bloch equations
- dressed atoms
- light force
- laser cooling
- cold atoms
- evaporative cooling
- Bose-Einstein condensation
- quantum algorithms and protocols
- ion traps and magnetic traps
This physics course presents a general derivation of the master equation and the optical Bloch equations. You will learn about various solutions of the optical Bloch equations, and you will discuss the quantum Monte Carlo wavefunction approach. The course will conclude with a discussion of unraveling open system quantum dynamics.
This course is a part of a series of courses to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
- 8.422.1x: Quantum states and dynamics of photons
- 8.422.2x: Atom-photon interactions
- 8.422.3x: Optical Bloch equations and open system dynamics
- 8.422.4x: Light forces and laser cooling
- 8.422.5x: Ultracold atoms and ions for many-body physics and quantum information science
At MIT, the content of the five courses makes the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
Completing the series allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics. In these five courses you will learn about the following topics:
- quantum states and dynamics of photons
- photon-atom interactions: basics and semiclassical approximations
- open system dynamics
- optical Bloch equations
- applications and limits of the optical Bloch equations
- dressed atoms
- light force
- laser cooling
- cold atoms
- evaporative cooling
- Bose-Einstein condensationquantum algorithms and protocols
- ion traps and magnetic traps.
In this physics course, you will learn about the quantum description of light with applications to squeezed states of light and teleportation as well as the non-classical states of light and single photons. You will learn how to do metrology with light. You will also learn about correlations with photons as well as atom correlation functions.
This course is a part of a series of courses to introduce fundamental concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
- 8.422.1x: Quantum States and Dynamics of Photons
- 8.422.2x: Atom-photon Interactions
- 8.422.3x: Optical Bloch Equations and Open System Dynamics
- 8.422.4x: Light Forces and Laser Cooling
- 8.422.5x: Ultracold Atoms and Ions for Many-body Physics and Quantum Information Science
At MIT, the content of these five courses makes up the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
In these five courses you will learn about the following topics: quantum states and dynamics of photons, photon-atom interactions: basics and semiclassical approximations, open system dynamics, optical Bloch equations, applications and limits of the optical Bloch equations, dressed atoms, light force, laser cooling, cold atoms, evaporative cooling, Bose-Einstein condensation, quantum algorithms and protocols, ion traps and magnetic traps.
Completing this series allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics.
In this physics course you will learn about ultracold bosons and fermions, and you will hear from Prof. Ketterle about Bose-Einstein condensation (BEC). Prof. Ketterle was among the first to achive BEC in the lab and was awarded the Nobel prize in 2001 for his work along with Eric Cornell and Carl Wieman. You will also learn about weakly interacting Bose gases, as well as superfluid to Mott insulator transition, BEC-BCS crossover, trapped ions and quantum gates with ions.
This course is a part of a series of courses to introduce concepts and current frontiers of atomic physics, and to prepare you for cutting-edge research:
- 8.422.1x: Quantum states and dynamics of photons
- 8.422.2x: Atom-photon interactions
- 8.422.3x: Optical Bloch equations and open system dynamics
- 8.422.4x: Light forces and laser cooling
- 8.422.5x: Ultracold atoms and ions for many-body physics and quantum information science
At MIT, the content of the five courses makes the second of a two-semester sequence (8.421 and 8.422) for graduate students interested in Atomic, Molecular, and Optical Physics. This sequence is required for Ph.D. students doing research in this field.
Completing the series allows you to pursue advanced study and research in cold atoms, as well as specialized topics in condensed matter physics. In these five courses you will learn about the following topics:
- quantum states and dynamics of photons
- photon-atom interactions: basics and semiclassical approximations
- open system dynamics
- optical Bloch equations
- applications and limits of the optical Bloch equations
- dressed atoms
- light force
- laser cooling
- cold atoms
- evaporative cooling
- Bose-Einstein condensation
- quantum algorithms and protocols
- ion traps and magnetic traps.
This course uses the theory and application of atomistic computer simulations to model, understand, and predict the properties of real materials. Specific topics include: energy models from classical potentials to first-principles approaches; density functional theory and the total-energy pseudopotential method; errors and accuracy of quantitative predictions: thermodynamic ensembles, Monte Carlo sampling and molecular dynamics simulations; free energy and phase transitions; fluctuations and transport properties; and coarse-graining approaches and mesoscale models. The course employs case studies from industrial applications of advanced materials to nanotechnology. Several laboratories will give students direct experience with simulations of classical force fields, electronic-structure approaches, molecular dynamics, and Monte Carlo.
This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5107 (Atomistic Computer Modeling of Materials).
Acknowledgements
Support for this course has come from the National Science Foundation's Division of Materials Research (grant DMR-0304019) and from the Singapore-MIT Alliance.
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