Phase Structure of Driven Quantum Systems.

By V. Khemani, A. Lazarides, Roderich Moessner, Shiv Sondhi. Physical Review Letters, 2015

738 citations recorded by the source corpus.

Clean and interacting periodically driven systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions. Some of these are analogs of equilibrium states with broken symmetries and topological order, while others-genuinely new to the Floquet problem-are characterized by order and nontrivial periodic dynamics. We illustrate these ideas in driven spin chains with Ising symmetry.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2e74932f3e2193abd96ea7d713e165024bf5ff21

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Classification of Interacting Topological Floquet Phases in One Dimension (2016, methodology): “[31] C. Interacting fermionic Floquet SPTs The presence of a global symmetry group, G, constrains the possible form of perturbations (i.e. restricts the entries of M (0,π)), and can protect multiple MZM and MPMs.”
Locally and globally chiral fields for ultimate control of chiral light matter interaction (2018, background): “The interference term 2σMσL ∣∣χ(1)∣∣∣∣χ(4)∣∣∣∣h(5)∣∣ cos(φM + φω,2ω) (5) is controlled by the chiral-field correlation function h((5)) = σL|h((5))|eω,2ω .”
Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “Recently, however, it was realized that certain periodically-driven “Floquet” systems can exhibit distinct phases, akin to those of equilibrium systems [29].”
Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump (2015, background): “It is therefore possible that such periodically driven systems can serve as a good starting point for constructing topologically nontrivial steady states for interacting, disorder (many-body localized) periodically driven systems [64].”
Programmable quantum simulations of spin systems with trapped ions (2019, background): “, 2015b) can exhibit stable dynamical phases of matter for infinitely long times (Else et al., 2016; Khemani et al., 2016; Potirniche et al., 2017).”
Random Quantum Circuits (2022, methodology): “For localized Floquet dynamics, the system can avoid thermalizing to infinite temperature, allowing for novel dynamical phases such as the Floquet time crystal phase, which spontaneously breaks discrete time-translation symmetry (203, 204), and in 2D the anomalous Floquet insulator, with protected c”
Topological Phases of Non-Hermitian Systems (2018, background): “[123] Vedika Khemani, Achilleas Lazarides, Roderich Moessner, and S.”
Chiral floquet phases of many-body localized bosons (2016, background): “[20], the analogous phase was termed π spin glass).”