Interaction-disorder competition in a spin system evaluated through the Loschmidt Echo
arXiv:1305.0408 · doi:10.1103/PhysRevB.88.195106
Abstract
The interplay between interactions and disorder in closed quantum many-body systems is relevant for thermalization phenomenon. In this article, we address this competition in an infinite temperature spin system, by means of the Loschmidt echo (LE), which is based on a time reversal procedure. This quantity has been formerly employed to connect quantum and classical chaos, and in the present many-body scenario we use it as a dynamical witness. We assess the LE time scales as a function of disorder and interaction strengths. The strategy enables a qualitative phase diagram that shows the regions of ergodic and nonergodic behavior of the polarization under the echo dynamics.
5 pages, 3 figures
References in corpus (12)
- Thermalization and its mechanism for generic isolated quantum systems
- Localization of interacting fermions at high temperature
- Many body localization in Heisenberg XXZ magnet in a random field
- Dynamics of Loschmidt echoes and fidelity decay
- Absence of Thermalization in Nonintegrable Systems
- Ergodicity breaking in a model showing many-body localization
- Loschmidt Echo
- Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Direct observation of quantum criticality in Ising spin chains
- NMR quantum simulation of localization effects induced by decoherence
- Quantum parallelism as a tool for ensemble spin dynamics calculations
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- Quasi Many-body Localization in Translation Invariant Systems
- Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
- Quench Dynamics of Isolated Many-Body Quantum Systems
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Ergodicity breaking in an incommensurate system observed by OTOCs and Loschmidt Echoes: From quantum diffusion to sub-diffusion
- Loschmidt echo in many-spin systems: contrasting time-scales of local and global measurements
- Proliferation of effective interactions: decoherence-induced equilibration in a closed many-body system
- Loschmidt echo in many-spin systems: a quest for intrinsic decoherence and emergent irreversibility
- Interplay of Anderson localization and quench dynamics
- Nonequilibrium localization and the interplay between disorder and interactions