Gapless kinetic theory beyond the Popov approximation

J. Wachter; J. Cooper; S.J.J.M.F. Kokkelmans; H. Murray

Gapless kinetic theory beyond the Popov approximation

J. Wachter
, J. Cooper
, S.J.J.M.F. Kokkelmans
, H. Murray

Coherence and Quantum Technology

Research output: Contribution to conference › Paper › Academic

Abstract

We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the interaction potential and reduces to a diagonal quantum Boltzmann equation for Bogoliubov quasiparticles. The Hartree-Fock-Bogoliubov interactions include the pairing field and are expressed as many-body T-matrices to second order. The interactions thus include the correct renormalized scattering physics. This renormalized theory is automatically gapless. Thus, the excited Bogoliubov modes are naturally orthogonal to the condensate ground state.

Original language	English
Publication status	Published - 1 May 2003
Event	34th Annual Meeting of the APS Division of Atomic, Molecular, and Optical Physics, DAMOP 2003 - Boulder, United States Duration: 21 May 2003 → 24 May 2003 Conference number: 34

Conference

Conference	34th Annual Meeting of the APS Division of Atomic, Molecular, and Optical Physics, DAMOP 2003
Abbreviated title	DAMOP 2003
Country/Territory	United States
City	Boulder
Period	21/05/03 → 24/05/03

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http://adsabs.harvard.edu/abs/2003APS..DMP.J1003W

Cite this

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title = "Gapless kinetic theory beyond the Popov approximation",

abstract = "We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the interaction potential and reduces to a diagonal quantum Boltzmann equation for Bogoliubov quasiparticles. The Hartree-Fock-Bogoliubov interactions include the pairing field and are expressed as many-body T-matrices to second order. The interactions thus include the correct renormalized scattering physics. This renormalized theory is automatically gapless. Thus, the excited Bogoliubov modes are naturally orthogonal to the condensate ground state.",

author = "J. Wachter and J. Cooper and S.J.J.M.F. Kokkelmans and H. Murray",

year = "2003",

month = may,

day = "1",

language = "English",

note = "34th Annual Meeting of the APS Division of Atomic, Molecular, and Optical Physics, DAMOP 2003, DAMOP 2003 ; Conference date: 21-05-2003 Through 24-05-2003",

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TY - CONF

T1 - Gapless kinetic theory beyond the Popov approximation

AU - Wachter, J.

AU - Cooper, J.

AU - Kokkelmans, S.J.J.M.F.

AU - Murray, H.

N1 - Conference code: 34

PY - 2003/5/1

Y1 - 2003/5/1

N2 - We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the interaction potential and reduces to a diagonal quantum Boltzmann equation for Bogoliubov quasiparticles. The Hartree-Fock-Bogoliubov interactions include the pairing field and are expressed as many-body T-matrices to second order. The interactions thus include the correct renormalized scattering physics. This renormalized theory is automatically gapless. Thus, the excited Bogoliubov modes are naturally orthogonal to the condensate ground state.

AB - We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the interaction potential and reduces to a diagonal quantum Boltzmann equation for Bogoliubov quasiparticles. The Hartree-Fock-Bogoliubov interactions include the pairing field and are expressed as many-body T-matrices to second order. The interactions thus include the correct renormalized scattering physics. This renormalized theory is automatically gapless. Thus, the excited Bogoliubov modes are naturally orthogonal to the condensate ground state.

M3 - Paper

T2 - 34th Annual Meeting of the APS Division of Atomic, Molecular, and Optical Physics, DAMOP 2003

Y2 - 21 May 2003 through 24 May 2003

ER -

Gapless kinetic theory beyond the Popov approximation

Abstract

Conference

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