Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation
arXiv:1510.06651 · doi:10.1103/PhysRevA.93.023821
Abstract
In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected, predicts a bistable behavior with a sharp shift between low- and high-density states. In contrast one-dimensional matrix product methods reveal these effects to be artifacts of the mean-field approach, with both disappearing once correlations are taken fully into account. Instead, a bunching-antibunching transition emerges. This indicates that alternative approaches should be considered for higher spatial dimensions, where classical simulations are currently infeasible. Thus we propose a circuit QED quantum simulator implementable with current technology to enable an experimental investigation of the model considered.
References in corpus (64)
- The density-matrix renormalization group in the age of matrix product states
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Quantum Simulation
- Efficient classical simulation of slightly entangled quantum computations
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient simulation of one-dimensional quantum many-body systems
- The classical-quantum boundary for correlations: discord and related measures
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Spin Liquid Ground State of the Kagome Heisenberg Model
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum trajectories and open many-body quantum systems
- Quantum phase transitions of light
- Coherent dynamics of a flux qubit coupled to a harmonic oscillator
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Studying Two Dimensional Systems With the Density Matrix Renormalization Group
- Renormalization and tensor product states in spin chains and lattices
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Implementing a strand of a scalable fault-tolerant quantum computing fabric
- Cooperative non-equilibrium phase transition in a dilute Rydberg ensemble
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- Algorithms for finite Projected Entangled Pair States
- Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model
- Variational principle for steady states of dissipative quantum many-body systems
- Photon solid phases in driven arrays of nonlinearly coupled cavities
- Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
- Universal non-equilibrium properties of dissipative Rydberg gases
- Nonequilibrium many-body steady states via Keldysh formalism
- Ground State and Finite Temperature Lanczos Methods
- A superconducting qubit with Purcell protection and tunable coupling
- A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
- Dynamical Coulomb Blockade and the Derivative Discontinuity of Time-Dependent Density Functional Theory
- Non-equilibrium dynamics of coupled qubit-cavity arrays
- Signatures of the super fluid-insulator phase transition in laser driven dissipative nonlinear cavity arrays
- Quantum Simulation of the Ultrastrong Coupling Dynamics in Circuit QED
- Corner space renormalization method for driven-dissipative 2D correlated systems
- Nonequilibrium Phase Diagram of a Driven-Dissipative Many-Body System
- Multiple steady-states in nonequilibrium quantum systems with electron-phonon interactions
- Heat transport in the spin chain: from ballistic to diffusive regimes and dephasing enhancement
- Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases
- Negative differential conductivity in far-from-equilibrium quantum spin chains
- Quantum correlations in the 1-D driven dissipative transverse field XY model
- Steady-state phase diagram of a driven QED-cavity array with cross-Kerr nonlinearities
- Non-equilibrium many-body effects in driven nonlinear resonator arrays
- Self-Consistent Projection Operator Theory for Quantum Many-Body Systems
- Dipolar Spin Models with Arrays of Superconducting Qubits
- Correlation effects in bistability at the nanoscale: steady state and beyond
- Repulsively induced photon super-bunching in driven resonator arrays
- Categorical Tensor Network States
- Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
- Quantum phase transition in an array of coupled dissipative cavities
- Optical bistability in strong-coupling cavity QED with a few atoms
- Time evolution of open quantum many-body systems
- Stationary discrete solitons in circuit QED
Cited by in corpus (70)
- Spectral theory of Liouvillians for dissipative phase transitions
- Quantum simulations and many-body physics with light
- Simulation methods for open quantum many-body systems
- Probing a dissipative phase transition via dynamical optical hysteresis
- Critical dynamical properties of a first-order dissipative phase transition
- Signatures of a dissipative phase transition in photon correlation measurements
- A simple tensor network algorithm for two-dimensional steady states
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Multistability of Driven-Dissipative Quantum Spins
- Bistability vs. Metastability in Driven Dissipative Rydberg Gases
- Power-laws in the dynamic hysteresis of quantum nonlinear photonic resonators
- A dissipative time crystal in an asymmetric non-linear photonic dimer
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Dissipation driven quantum phase transitions and symmetry breaking
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
- Unifying Neural-network Quantum States and Correlator Product States via Tensor Networks
- Symmetries and Conservation Laws in Quantum Trajectories: Dissipative Freezing
- Collective phases of strongly interacting cavity photons
- Universality in driven open quantum matter
- Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions
- Mean-field validity in a dissipative critical system: Liouvillian gap, -symmetric antigap, and permutational symmetry in the model
- Dynamical properties of dissipative XYZ Heisenberg lattices
- Theory of classical metastability in open quantum systems
- Universal power law decay in the dynamic hysteresis of an optical cavity with non-instantaneous photon-photon interactions
- Phases of driven two-level systems with nonlocal dissipation
- Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
- Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
- Breaking strong symmetries in dissipative quantum systems: Bosonic atoms coupled to a cavity
- Two coupled nonlinear cavities in a driven-dissipative environment
- Many-Body Open Quantum Systems
- Dynamics of Many-Body Quantum Synchronisation
- Gutzwiller Monte Carlo approach for a critical dissipative spin model
- Quantum-optical magnets with competing short- and long-range interactions: Rydberg-dressed spin lattice in an optical cavity
- Critical Theory for the Breakdown of Photon Blockade
- Dissipative phase transition with driving-controlled spatial dimension and diffusive boundary conditions
- Simulating frustrated antiferromagnets with quadratically driven QED cavities
- Quantum features of entropy production in driven-dissipative transitions
- Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
- Correlation-induced steady states and limit cycles in driven dissipative quantum systems
- Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
- Spatial correlations in driven-dissipative photonic lattices
- Many-body dynamics of holes in a driven, dissipative spin chain of Rydberg superatoms
- Super-operator structures and no-go theorems for dissipative quantum phase transitions
- Tailored jump operators for purely dissipative quantum magnetism
- Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
- Quantum correlated cluster mean-field theory applied to the transverse Ising model
- Engineering indefinitely long-lived localization in cavity-QED arrays
- Quantum annealing in spin-boson model: from a perturbative to a ultrastrong mediated coupling
- Fluctuation-Induced Bistability of Fermionic Atoms Coupled to a Dissipative Cavity
- Invariant Neural Network Ansatz for weakly symmetric Open Quantum Lattices
- On the complexity of the steady-state of weakly symmetric open quantum lattices
- Entropy production dynamics in quench protocols of a driven-dissipative critical system
- Symmetries & Correlations in Continous Time Crystals
- Steady states of a driven dissipative dipolar XXZ chain
- Correspondence between dissipative phase transitions of light and time crystals
- Emergence of chaos and controlled photon transfer in a cavity-QED network
- Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
- Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
- Dissipative quantum phase transitions monitored by current fluctuations
- Quantum stabilization of photonic spatial correlations
- Stochastic light in a cavity: A Brownian particle in a scalar potential?
- Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage
- Phase sensitive photonic flash
- Variational analysis of driven-dissipative bosonic fields
- A solvable model for strongly interacting nonequilibrium excitons
- Genuine Bistability in Open Quantum Many-Body Systems
- Metastability in the Dissipative Quantum Rabi Model