Many Body Generalization of the Landau-Zener Problem

2007/09/17 by Alexander Altland, Victor Gurarie, V. Gurarie · 2 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.100.063602

published as Phys. Rev. Lett. 100, 063602 (2008) · 4 pages

arxiv created 2007/09/17 · openalex publication_date 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate and approximately solve a specific many body generalization of the Landau-Zener problem. Unlike with the single particle Landau-Zener problem, our system does not abide in the adiabatic ground state, even at very slow driving rates. The structure of the theory suggests that this finding reflects a more general phenomenon in the physics of adiabatically driven many particle systems. Our solution can be used to understand, for example, the behavior of two-level systems coupled to an electromagnetic field, as realized in cavity QED experiments.

Citations

• Observation of resonance condensation of fermionic atom pairs
• Coherent population transfer among quantum states of atoms and molecules
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box

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