Artículo

Rey, A.M.; Hu, B.L.; Calzetta, E.; Clark, C.W. "Quantum kinetic theory of a Bose-Einstein gas confined in a lattice" (2005) Physical Review A - Atomic, Molecular, and Optical Physics. 72(2)
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Abstract:

We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that treat mean-field effects and quantum fluctuations on an equal footing. We demonstrate that these equations reproduce well-known limits when simplifying approximations are introduced. For example, when the system dynamics admits two-time separation, we obtain the Kadanoff-Baym equations of quantum kinetic theory, and in the weakly interacting limit, we show that the local equilibrium solutions of our equations reproduce the second-order corrections to the self-energy of the type originally derived by Beliaev. The derivation of quantum kinetic equations from the 2PI-CTP effective action not only checks the viability of the formalism but also shows it to be a tractable framework for going beyond standard Boltzmann equations of motion.

Registro:

Documento: Artículo
Título:Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
Autor:Rey, A.M.; Hu, B.L.; Calzetta, E.; Clark, C.W.
Filiación:Department of Physics, University of Maryland, College Park, MD 20742, United States
National Institute of Standards and Technology, Gaithersburg, MD 20899, United States
Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Bose-Einstein condensate; Closed-time-path (CTP); Nonequilibrium dynamics; Quantum fluctuations; Approximation theory; Condensation; Kinetic energy; Molecular physics; Nonlinear equations; Quantum theory; Quantum optics
Año:2005
Volumen:72
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevA.72.023604
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n2_p_Rey

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Citas:

---------- APA ----------
Rey, A.M., Hu, B.L., Calzetta, E. & Clark, C.W. (2005) . Quantum kinetic theory of a Bose-Einstein gas confined in a lattice. Physical Review A - Atomic, Molecular, and Optical Physics, 72(2).
http://dx.doi.org/10.1103/PhysRevA.72.023604
---------- CHICAGO ----------
Rey, A.M., Hu, B.L., Calzetta, E., Clark, C.W. "Quantum kinetic theory of a Bose-Einstein gas confined in a lattice" . Physical Review A - Atomic, Molecular, and Optical Physics 72, no. 2 (2005).
http://dx.doi.org/10.1103/PhysRevA.72.023604
---------- MLA ----------
Rey, A.M., Hu, B.L., Calzetta, E., Clark, C.W. "Quantum kinetic theory of a Bose-Einstein gas confined in a lattice" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 72, no. 2, 2005.
http://dx.doi.org/10.1103/PhysRevA.72.023604
---------- VANCOUVER ----------
Rey, A.M., Hu, B.L., Calzetta, E., Clark, C.W. Quantum kinetic theory of a Bose-Einstein gas confined in a lattice. Phys Rev A. 2005;72(2).
http://dx.doi.org/10.1103/PhysRevA.72.023604