4.8 Article

Nonequilibrium Phase Transition in a Periodically Driven XY Spin Chain

Journal

PHYSICAL REVIEW LETTERS
Volume 107, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.060403

Keywords

-

Funding

  1. Slovenian research agency [P1-0044, J1-2208]
  2. A. v. Humboldt foundation

Ask authors/readers for more resources

We present a general formulation of Floquet states of periodically time-dependent open Markovian quasifree fermionic many-body systems in terms of a discrete Lyapunov equation. Illustrating the technique, we analyze periodically kicked XY spin-1/2 chain which is coupled to a pair of Lindblad reservoirs at its ends. A complex phase diagram is reported with reentrant phases of long range and exponentially decaying spin-spin correlations as some of the system's parameters are varied. The structure of phase diagram is reproduced in terms of counting nontrivial stationary points of Floquet quasiparticle dispersion relation.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.8
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Physics, Multidisciplinary

A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model

Marko Ljubotina, Marko Znidaric, Tomaz Prosen

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2017)

Article Physics, Multidisciplinary

Exact matrix product decay modes of a boundary driven cellular automaton

Tomaz Prosen, Berislav Buca

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2017)

Article Mechanics

Time-dependent correlation functions in open quadratic fermionic systems

Pavel Kos, Tomaz Prosen

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2017)

Article Physics, Particles & Fields

Absence of ballistic charge transport in the half-filled 1D Hubbard model

J. M. P. Carmelo, S. Nemati, T. Prosen

NUCLEAR PHYSICS B (2018)

Article Physics, Multidisciplinary

Replica Resummation of the Baker-Campbell-Hausdorff Series

Szabolcs Vajna, Katja Klobas, Tomaz Prosen, Anatoli Polkovnikov

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Integrable Trotterization: Local Conservation Laws and Boundary Driving

Matthieu Vanicat, Lenart Zadnik, Tomaz Prosen

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory

Pavel Kos, Marko Ljubotina, Tomaz Prosen

PHYSICAL REVIEW X (2018)

Article Physics, Multidisciplinary

Strongly correlated non-equilibrium steady states with currents - quantum and classical picture

Berislav Buca, Tomaz Prosen

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2018)

Article Mechanics

Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport

Katja Klobas, Marko Medenjak, Tomaz Prosen

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2018)

Article Physics, Multidisciplinary

Superdiffusion in One-Dimensional Quantum Lattice Models

Enej Ilievski, Jacopo De Nardis, Marko Medenjak, Tomaz Prosen

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos

Bruno Bertini, Pavel Kos, Tomaz Prosen

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Integrable Quantum Dynamics of Open Collective Spin Models

Pedro Ribeiro, Tomaz Prosen

PHYSICAL REVIEW LETTERS (2019)

Review Physics, Multidisciplinary

Finite-temperature transport in one-dimensional quantum lattice models

B. Bertini, F. Heidrich-Meisner, C. Karrasch, T. Prosen, R. Steinigeweg, M. Znidaric

Summary: Significant progress has been made in the theoretical understanding of transport properties in one-dimensional quantum lattice systems in the past decade, with Bethe-ansatz integrable models and novel simulation methods playing important roles. The discovery of quasilocal conserved quantities provides insight into the origins of finite-temperature transport behavior, while state-of-the-art theoretical methods, including matrix-product-state-based simulation and generalized hydrodynamics, are discussed. The close connection between theoretical models and recent experiments, particularly in the context of quantum magnets and ultracold quantum gases in optical lattices, is also highlighted.

REVIEWS OF MODERN PHYSICS (2021)

Article Physics, Multidisciplinary

On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum

Tomaz Prosen

Summary: We propose and discuss two variants of cellular automata models that describe the behavior of particles in 1 + 1 dimensions. The first model describes two types of quasiparticles, while the second model represents a quantum deformation of a previously studied lattice gas model. Both models exhibit intriguing properties and may have potential applications in further research.

ENTROPY (2023)

Article Materials Science, Multidisciplinary

Slow dynamics in translation-invariant quantum lattice models

Alexios A. Michailidis, Marko Znidaric, Mariya Medvedyeva, Dmitry A. Abanin, Tomaz Prosen, Z. Papic

PHYSICAL REVIEW B (2018)

No Data Available