Continuous Dissipative Phase Transitions without Symmetry Breaking
arXiv:2110.11902 · doi:10.1088/1367-2630/ac3db8
Abstract
The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been fruitfully applied to out-of-equilibrium open quantum systems. Dissipative phase transitions (DPTs) of second order are often connected with SSB, in close analogy with well-known thermal second-order PTs in closed quantum and classical systems. That is, a second-order DPT should disappear by preventing the occurrence of SSB. Here, we prove this statement to be wrong, showing that, surprisingly, SSB is not a necessary condition for the occurrence of second-order DPTs in out-of-equilibrium open quantum systems. We analytically prove this result using the Liouvillian theory of dissipative phase transitions, and demonstrate this anomalous transition in a paradigmatic laser model, where we can arbitrarily remove SSB while retaining criticality, and on a -symmetric model of a two-photon Kerr resonator. This new type of phase transition cannot be interpreted as a "semiclassical" bifurcation, because, after the DPT, the system steady state remains unique.
arXiv comment9 pages, 2 figures, corrected minor typos
References in corpus (63)
- Topological Insulators
- Topological insulators and superconductors
- Periodic table for topological insulators and superconductors
- Topological phases of non-Hermitian systems
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- PT-Symmetric Phonon Laser
- Symmetries and conserved quantities in Lindblad master equations
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Spectral theory of Liouvillians for dissipative phase transitions
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Dissipative Phase Transition in Central Spin Systems
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Boundary time crystals
- Topology by dissipation
- Probing a dissipative phase transition via dynamical optical hysteresis
- Tenfold Way for Quadratic Lindbladians
- Unconventional magnetism via optical pumping of interacting 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
- Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
- An Introduction to Spontaneous Symmetry Breaking
- Photon solid phases in driven arrays of nonlinearly coupled cavities
- Critical dynamical properties of a first-order dissipative phase transition
- Signatures of a dissipative phase transition in photon correlation measurements
- Observation of the photon-blockade breakdown phase transition
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Emergent equilibrium in many-body optical bistability
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Driven Markovian Quantum Criticality
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Symmetry breaking and error correction in open quantum systems
- Critical parametric quantum sensing
- Multistability of Driven-Dissipative Quantum Spins
- Power-laws in the dynamic hysteresis of quantum nonlinear photonic resonators
- Coherent and dissipative dynamics at quantum phase transitions
- Quantum Synchronisation Enabled by Dynamical Symmetries and Dissipation
- Lecture Notes on the Theory of Open Quantum Systems
- Exact results for Schrödinger cats in driven-dissipative systems and their feedback control
- PT-symmetry breaking in the steady state of microscopic gain-loss 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
- Critical behavior of dissipative two-dimensional spin lattices
- Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
- Symmetries and Conservation Laws in Quantum Trajectories: Dissipative Freezing
- Exotic attractors of the non-equilibrium Rabi-Hubbard model
- Phase diagram of incoherently driven strongly correlated photonic lattices
- Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
- Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
- Distinctive class of dissipation-induced phase transitions and their universal characteristics
- Spectral Phase Transitions in Optical Parametric Oscillators
- Dynamical properties of dissipative XYZ Heisenberg lattices
- Non-equilibrium magnetic phases in spin lattices with gain and loss
- Homodyne versus photon-counting quantum trajectories for dissipative Kerr resonators with two-photon driving
- Liouvillian spectral collapse in the Scully-Lamb laser model
- Squeezed lasing
- Critical Theory for the Breakdown of Photon Blockade
- Generalized classes of continuous symmetries in two-mode Dicke models
- Atom-only theories for U(1) symmetric cavity-QED models
- Low- and high- lasers in Class-A limit: photon statistics, linewidth, and the laser-phase transition analogy
- Correlation-induced steady states and limit cycles in driven dissipative quantum systems
- Superradiant phase transition in complex networks
- Active energy transport and the role of symmetry breaking in microscopic power grid
Cited by in corpus (25)
- Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
- Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution
- Many-Body Open Quantum Systems
- Liouvillian spectral collapse in the Scully-Lamb laser model
- Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
- Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
- Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model
- Sudden change of the photon output field marks phase transitions in the quantum Rabi model
- Quantum Liouvillian exceptional and diabolical points for bosonic fields with quadratic Hamiltonians: The Heisenberg-Langevin equation approach
- Dissipative phase transitions in optomechanical systems
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Parametrically driving a quantum oscillator into exceptionality
- Controlling Matter Phases beyond Markov
- Symmetry-resolved entanglement in fermionic systems with dissipation
- Adaptive variational low-rank dynamics for open quantum systems
- Chaotic and quantum dynamics in driven-dissipative bosonic chains
- Crossover from the discontinuous to continuous phase transitions in dissipative spin system with collective decay
- Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
- Lee-Yang theory of the superradiant phase transition in the open Dicke model
- Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions
- Local vs non-local dynamics in cavity-coupled Rydberg atom arrays
- Exact steady state of quantum van der Pol oscillator: critical phenomena and enhanced metrology
- Dissipative phase transition: from qubits to qudits
- Phonon-induced transition between entangled and nonentangled photon emission in constantly driven quantum-dot--cavity systems
- Metastability in the Dissipative Quantum Rabi Model