Many-body localization in periodically driven systems.
By P. Ponte, Z. Papi'c, F. Huveneers, D. Abanin. Physical Review Letters, 2014
426 citations recorded by the source corpus.
We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in which almost all eigenstates have area-law entanglement entropy, and the eigenstate thermalization hypothesis (ETH) is violated, and (ii) a delocalized phase, in which eigenstates have volume-law entanglement and obey the ETH. The MBL phase exhibits logarithmic in time growth of entanglement entropy when the system is initially prepared in a product state, which distinguishes it from the delocalized phase. We propose an effective model of the MBL phase in terms of an extensive number of emergent local integrals of motion, which naturally explains the spectral and dynamical properties of this phase. Numerical data, obtained by exact diagonalization and time-evolving block decimation methods, suggest a direct transition between the two phases.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c7682611e5f2eafa4effd0cc0213216fd6726386
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Colloquium: Nonthermal pathways to ultrafast control in quantum materials (2021, background): “Many-body localized (MBL) systems constitute an important exception (D’Alessio and Polkovnikov, 2013; Lazarides, Das, and Moessner, 2014, 2015; Ponte et al., 2015).”
- Classification of Interacting Topological Floquet Phases in One Dimension (2016, background): “[18] Pedro Ponte, Z Papić, François Huveneers, and Dmitry A Abanin, “Many-body localization in period-”
- Low-frequency conductivity in many-body localized systems (2015, background): “Further, an MBL system subject to a finite-frequency drive for a long enough duration will eventually leave the linear-response regime and enter instead a Floquet MBL steady state or even thermalize due to the ac drive [8,23,32].”
- Local integrals of motion in many‐body localized systems (2016, background): “Contrary to the ETH requirements, MBL eigenstates in the same energy shell are locally distinguishable and non-thermal: the expectation values of the local observables are far from their equilibrium value, and they strongly fluctuate between states that are close in energy [85], see Fig.”
- Quantum coherence and geometric quantum discord (2017, background): “…for the stationary state demonstrates a long time slow increase characterized as logarithmic increasing in time (Bardarson et al., 2012; Levi et al., 2016; Modak, 2015; Nandkishore et al., 2015; Ponte et al., 2015; Žnidarič et al., 2008), or algebraic with power-law interactions (Pino, 2014).”
- Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “(Else and Nayak, 2016; Harper and Roy, 2017; von Keyserlingk and Sondhi, 2016a,b; Po et al., 2016; Potter et al., 2016) put forward (partial) classifications of distinct Floquet-MBL phases in the presence of additional symmetries.”
- Random Quantum Circuits (2022, background): “While we will focus here on chaotic Floquet dynamics, it should be noted that random Floquet circuits can also exhibit many-body localization (199, 200, 201, 94, 202).”
- Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos (2018, positive): “This means that, due to its special structure, the model never displays Floquet-MBL [48, 61, 62].”