Universality class of Ising critical states with long-range losses

Abstract

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian spectrum closing at small momenta as $\propto q^{\alpha }$, with $\alpha$ a positive tunable exponent directly related to the power-law decay of the spatial profile of losses at long distances, $1/r^{(\alpha +d)}$. This yields a class of soft modes asymptotically decoupled from dissipation at small momenta, which are responsible for the emergence of a critical scaling regime ascribable to the non-unitary counterpart of the universality class of long-range interacting Ising models. For $\alpha <1$ we find a non-equilibrium critical point ruled by a dynamical field theory described by a Langevin model with coexisting inertial ($\sim {\partial }_t^2$) and frictional ($\sim {\partial }_t$) kinetic coefficients, and driven by a gapless Markovian noise with variance $\propto q^{\alpha }$ at small momenta. This effective field theory is beyond the Halperin-Hohenberg description of dynamical criticality, and its critical exponents differ from their unitary long-range counterparts. Our work lays out perspectives for a revision of universality in driven-open systems by employing dark states taylored by programmable dissipation.

7 pages, 1 figure

References in corpus (24)

• Quantum fluids of light
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Bose-Einstein condensation of photons in an optical microcavity
• Dynamical phase transition in correlated fermionic lattice systems
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Dynamical phase transition in the open Dicke model
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Kitaev chains with long-range pairing
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Programmable Interactions and Emergent Geometry in an Atomic Array
• Nonequilibrium quantum criticality in open electronic systems
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Emerging dissipative phases in a superradiant quantum gas with tunable decay
• Dynamical scaling of correlations generated by short- and long-range dissipation
• Lindblad dynamics of the quantum spherical model
• Time-reversal symmetry breaking and emergence in driven-dissipative Ising models
• Singularities in nearly-uniform 1D condensates due to quantum diffusion

Cited by in corpus (19)

• Engineered Dissipation for Quantum Information Science
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Universality in driven open quantum matter
• Dissipative time crystals with long-range Lindbladians
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Many-Body Open Quantum Systems
• Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• User-friendly TWA for dissipative spin dynamics
• Solid-state platform for cooperative quantum dynamics driven by correlated emission
• Intertwining of lasing and superradiance under spintronic pumping
• Dynamics of spin-momentum entanglement from superradiant phase transitions
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Nonperturbative treatment of a quenched Langevin field theory
• Dissipative Preparation of Many-Body Spin Steady States Using Trapped Ultracold Atoms
• Driven-Dissipative Dynamics of Ultracold Atoms Trapped in an Array of Harmonic Potentials
• Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
• Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars