A Quantum Many-Body Instability in the Thermodynamic Limit

2004/03/31 by Marco Frasca · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum many-body systems #cond-mat.other #hep-th #quant-ph

paper · pdf · doi:10.1142/s0217984906011578

published as Mod.Phys.Lett. B20 (2006) 1059-1066 · 11 pages, 1 figure. Final version accepted for publication in Modern Physics Letters B

arxiv created 2005/10/12 · openalex publication_date 2006/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Intrinsic decoherence in the thermodynamic limit is shown for a large class of many-body quantum systems in the unitary evolution in NMR and cavity QED. The effect largely depends on the inability of the system to recover the phases. Gaussian decaying in time of the fidelity is proved for spin systems and radiation-matter interaction.

Citations

• Cooperative effects in Josephson junctions in a cavity in the strong coupling regime
• Dynamical decoherence in a cavity with a large number of two-level atoms
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Cited by

• Thermodynamic limit and decoherence: rigorous results