Thermal and dissipative effects on the heating transition in a driven critical system

Abstract

We study the dissipative dynamics of a periodically driven inhomogeneous critical lattice model in one dimension. The closed system dynamics starting from pure initial states is well-described by a driven Conformal Field Theory (CFT), which predicts the existence of both heating and non-heating phases in such systems. Heating is inhomogeneous and is manifested via the emergence of black-hole like horizons in the system. The robustness of this CFT phenomenology when considering thermal initial states and open systems remains elusive. First, we present analytical results for the Floquet CFT time evolution for thermal initial states. Moreover, using exact calculations of the time evolution of the lattice density matrix, we demonstrate that for short and intermediate times, the closed system phase diagram comprising heating and non-heating phases, persists for thermal initial states on the lattice. Secondly, in the fully open system with boundary dissipators, we show that the nontrivial spatial structure of the heating phase survives particle-conserving and non-conserving dissipations through clear signatures in mutual information and energy density evolution.

Version 2: New figures, numerical computations and analytical computations from CFT

References in corpus (18)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Equilibrium states of generic quantum systems subject to periodic driving
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Dissipative Phase Transition in Central Spin Systems
• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Recent progress in many-body localization
• Tailoring quantum gases by Floquet engineering
• Entangling oscillators through environment noise
• Connecting distant ends of one-dimensional critical systems by a sine-square deformation
• Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
• Geometric approach to inhomogeneous Floquet systems
• Floquet conformal field theories with generally deformed Hamiltonians
• The fine structure of heating in a quasiperiodically driven critical quantum system
• Classification of $S{L}_2$ deformed Floquet Conformal Field Theories
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
• Conformal Floquet dynamics with a continuous drive protocol
• The Real-Time Correlation Function of Floquet Conformal Fields
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors

Cited by in corpus (7)

• Quantum information geometry of driven CFTs
• Exactly solvable non-unitary time evolution in quantum critical systems I: Effect of complex spacetime metrics
• Floquet engineered inhomogeneous quantum chaos in critical systems
• Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
• Anomalous Luttinger equivalence between temperature and curved spacetime: From black hole's atmosphere to thermal quenches
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Chiral Instabilities in Driven-Dissipative Quantum Liquids