Exploring quantum phases by driven dissipation

Abstract

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on emergent phenomena caused by the interplay and competition of unitary Hamiltonian and dissipative Markovian dynamics. In this manuscript we zero in on a so far rather understudied aspect of open quantum systems and non-equilibrium physics, namely the utilization of purely dissipative couplings to explore pure quantum phases and non-equilibrium phase transitions. To illustrate this concept, we introduce and scrutinize purely dissipative counterparts of (1) the paradigmatic transverse field Ising model and (2) the considerably more complex ${\mathbb{Z}}_2$ lattice gauge theory with coupled matter field. We show that, in mean field approximation, the non-equilibrium phase diagrams parallel the (thermal) phase diagrams of the Hamiltonian "blue print" theories qualitatively.

13 pages, 6 figures, 2 tables

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Cited by in corpus (32)

• Keldysh Field Theory for Driven Open Quantum Systems
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Entanglement Transition in the Projective Transverse Field Ising Model
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Lindblad dissipative dynamics in presence of phase coexistence
• Bistability vs. Metastability in Driven Dissipative Rydberg Gases
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
• Entanglement Steering in Adaptive Circuits with Feedback
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• A phonon laser in the quantum regime
• Many-Body Open Quantum Systems
• Driven-dissipative criticality within the discrete truncated Wigner approximation
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Measurement induced transitions in non-Markovian free fermion ladders
• Quantum phase transition with dissipative frustration
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Many-body dynamics of holes in a driven, dissipative spin chain of Rydberg superatoms
• Stable Symmetry-Protected Topological Phases in Systems with Heralded Noise
• An exactly solvable dissipative spin liquid
• Dissipative Bose-Einstein condensation in contact with a thermal reservoir
• Tailored jump operators for purely dissipative quantum magnetism
• Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
• Dissipation-induced enhancement and squeezing of quantum fluctuations
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
• Diffusive modes of two-band fermions under number-conserving dissipative dynamics
• Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
• Measurement-Driven Transitions between Area Law Phases
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Dynamical symmetry in quantum dissipative models
• Dissipative cooling induced by pulse perturbations