Lindblad equation for the inelastic loss of ultracold atoms

Braaten, Eric; Hammer, H. -W.; Lepage, G. Peter

doi:10.1103/physreva.95.012708

Title: Lindblad equation for the inelastic loss of ultracold atoms

Journal Article · Thu Jan 26 00:00:00 EST 2017 · Physical Review A

DOI:https://doi.org/10.1103/physreva.95.012708· OSTI ID:1535722

Braaten, Eric ^[1]; Hammer, H. -W. ^[2]; Lepage, G. Peter ^[3]

The Ohio State Univ., Columbus, OH (United States)
GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany). ExtreMe Matter Inst. (EMMI); Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
Cornell Univ., Ithaca, NY (United States). Lab. of Elementary Particle Physics

The loss of ultracold trapped atoms due to highly inelastic reactions has previously been taken into account in effective theories for low-energy atoms by adding local anti-Hermitian terms to the effective Hamiltonian. We show that an additional modification is required in the equation governing the density matrix for multiatom systems. The effective density matrix obtained by tracing over states containing high-momentum atoms produced by the highly inelastic reactions satisfies the Lindblad equation, with local Lindblad operators that are determined by the anti-Hermitian terms in the effective Hamiltonian. We use the Lindblad equation to derive the universal relation for the two-atom inelastic loss rate for fermions with two spin states and the universal relation for the three-atom inelastic loss rate for identical bosons.

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Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF); Simons Foundatino; German Federal Ministry of Education and Research (BMBF); German Research Foundation (DFG)

Grant/Contract Number:: FG02-05ER15715; PHY-1310862; 05P15RDFN1; SFB 1245

OSTI ID:: 1535722

Alternate ID(s):: OSTI ID: 1341261

Journal Information:: Physical Review A, Vol. 95, Issue 1; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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