A Quantum Many-Body Instability in the Thermodynamic Limit
arXiv:quant-ph/0403111 · doi:10.1142/S0217984906011578
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.
11 pages, 1 figure. Final version accepted for publication in Modern Physics Letters B
References in corpus (13)
- Chaos and the Quantum Phase Transition in the Dicke Model
- Loop Quantum Gravity
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Entanglement of a Mesoscopic Field with an Atom induced by Photon Graininess in a Cavity
- Attenuation of polarization echoes in NMR: A study of the emergence of dynamical irreversibility in many-body quantum systems
- Gaussian quantum fluctuations in interacting many particle systems
- General Theorems on Decoherence in the Thermodynamic Limit
- A modern review of the two-level approximation
- 1/N-expansion for the Dicke model and the decoherence program
- Dynamical decoherence in a cavity with a large number of two-level atoms
- Classical states and decoherence by unitary evolution in the thermodynamic limit
- Dynamical disappearance of superposition states in the thermodynamic limit
- Cooperative effects in Josephson junctions in a cavity in the strong coupling regime