Dynamical properties of dissipative XYZ Heisenberg lattices

Abstract

We study dynamical properties of dissipative XYZ Heisenberg lattices where anisotropic spin-spin coupling competes with local incoherent spin flip processes. In particular, we explore a region of the parameter space where dissipative magnetic phase transitions for the steady state have been recently predicted by mean-field theories and exact numerical methods. We investigate the asymptotic decay rate towards the steady state both in 1D (up to the thermodynamical limit) and in finite-size 2D lattices, showing that critical dynamics does not occur in 1D, but it can emerge in 2D. We also analyze the behavior of individual homodyne quantum trajectories, which well reveal the nature of the transition.

References in corpus (27)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum fluids of light
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Quantum trajectories and open many-body quantum systems
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• The iTEBD algorithm beyond unitary evolution
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Dissipative Phase Transition in Central Spin Systems
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Critical dynamical properties of a first-order dissipative phase transition
• Signatures of a dissipative phase transition in photon correlation measurements
• Effective spin systems in coupled micro-cavities
• Observation of the photon-blockade breakdown phase transition
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Photon transport in a dissipative chain of nonlinear cavities
• Linked cluster expansions for open quantum systems on a lattice
• Quantum degeneracy of microcavity polaritons
• Reproducing spin lattice models in strongly coupled atom-cavity systems
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
• Phase Diagram of Rydberg atoms in a nonequilibrium optical lattice
• Fragile fate of driven-dissipative XY phase in two dimensions

Cited by in corpus (43)

• Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
• Spectral theory of Liouvillians for dissipative phase transitions
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• Geometry of quantum phase transitions
• Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
• Quantum critical regime in a quadratically-driven nonlinear photonic lattice
• Critical open-system dynamics in a one-dimensional optical lattice clock
• A dissipative time crystal in an asymmetric non-linear photonic dimer
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Autoregressive Transformer Neural Network for Simulating Open Quantum Systems via a Probabilistic Formulation
• Phase diagram of the dissipative quantum Ising model on a square lattice
• Mean-field validity in a dissipative critical system: Liouvillian gap, $\mathbb{PT}$-symmetric antigap, and permutational symmetry in the $XYZ$ model
• A driven-dissipative quantum Monte Carlo method for open quantum systems
• Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
• Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator
• Continuous Dissipative Phase Transitions without Symmetry Breaking
• Solving the Liouvillian Gap with Artificial Neural Networks
• Liouvillian spectral collapse in the Scully-Lamb laser model
• Many-Body Open Quantum Systems
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
• Simulating frustrated antiferromagnets with quadratically driven QED cavities
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
• Classical critical dynamics in quadratically driven Kerr resonators
• Synchronization of persistent oscillations in spin systems with non-local dissipations
• Revealing higher-order light and matter energy exchanges using quantum trajectories in ultrastrong coupling
• Dissipative state transfer and Maxwell's demon in single quantum trajectories: Excitation transfer between two noninteracting qubits via unbalanced dissipation rates
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Nonuniform phases in the geometrically frustrated dissipative XYZ model
• On the complexity of the steady-state of weakly symmetric open quantum lattices
• Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
• Error-mitigated deep-circuit quantum simulation of open systems: steady state and relaxation rate problems
• Steady states of a driven dissipative dipolar XXZ chain
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• Correspondence between dissipative phase transitions of light and time crystals
• Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems
• Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
• Dissipative quantum phase transitions monitored by current fluctuations
• Dynamical symmetry in quantum dissipative models
• Learning out-of-time-ordered correlators with classical kernel methods
• Metastability in the Dissipative Quantum Rabi Model
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap