A Floquet Model for the Many-Body Localization Transition
arXiv:1609.00390 · doi:10.1103/PhysRevB.94.224202
Abstract
The nature of the dynamical quantum phase transition between the many-body localized (MBL) phase and the thermal phase remains an open question, and one line of attack on this problem is to explore this transition numerically in finite-size systems. To maximize the contrast between the MBL phase and the thermal phase in such finite-size systems, we argue one should choose a Floquet model with no local conservation laws and rapid thermalization to "infinite temperature" in the thermal phase. Here we introduce and explore such a Floquet spin chain model, and show that standard diagnostics of the MBL-to-thermal transition behave well in this model even at modest sizes. We also introduce a physically motivated spacetime correlation function which peaks at the transition in the Floquet model, but is strongly affected by conservation laws in Hamiltonian models.
References in corpus (13)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Phenomenology of fully many-body-localized systems
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Periodically driven ergodic and many-body localized quantum systems
- Quantum revivals and many-body localization
- Thermalization of entanglement
Cited by in corpus (9)
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Floquet Topological Order in Interacting Systems of Bosons and Fermions
- Drive Induced Delocalization in Aubry-André Model
- Eigenstate phases with finite on-site non-Abelian symmetry
- Response of a quantum disordered spin system to a local periodic drive
- Characterizing the many-body localization transition through correlations
- Stochastic and long-distance level spacing statistics in many-body localization
- Low-frequency and Moiré Floquet engineering: a review
- Linked cluster expansion on trees