Universality in driven open quantum matter
arXiv:2312.03073 · doi:10.1103/RevModPhys.97.025004
Abstract
Universality is a powerful concept, which enables making qualitative and quantitative predictions in systems with extensively many degrees of freedom. It finds realizations in almost all branches of physics, including in the realm of nonequilibrium systems. Our focus here is on its manifestations within a specific class of nonequilibrium stationary states: driven open quantum matter. Progress in this field is fueled by a number of uprising platforms ranging from light-driven quantum materials over synthetic quantum systems like cold atomic gases to the functional devices of the noisy intermediate scale quantum era. These systems share in common that, on the microscopic scale, they obey the laws of quantum mechanics, while detailed balance underlying thermodynamic equilibrium is broken due to the simultaneous presence of Hamiltonian unitary dynamics and nonunitary drive and dissipation. The challenge is then to connect this microscopic physics to macroscopic observables, and to identify universal collective phenomena that uniquely witness the breaking of equilibrium conditions, thus having no equilibrium counterparts. In the framework of a Lindblad-Keldysh field theory, we discuss on the one hand the principles delimiting thermodynamic equilibrium from driven open stationary states, and on the other hand show how unifying concepts such as symmetries, the purity of states, and scaling arguments are implemented. We then present instances of universal behavior structured into three classes: new realizations of paradigmatic nonequilibrium phenomena, including a survey of first experimental realizations; novel instances of nonequilibrium universality found in these systems made of quantum ingredients; and genuinely quantum phenomena out of equilibrium, including in fermionic systems. We also discuss perspectives for future research on driven open quantum matter.
87 pages, 16 figures
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- Dissipative phase transition of interacting non-reciprocal fermions
- Nonperturbative treatment of a quenched Langevin field theory
- Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
- A General Strategy for Realizing Mpemba Effects in Open Quantum Systems
- Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
- Steady-states and response functions of the periodically driven O(N) scalar field theory
- Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
- Nonequilibrium Critical Scaling of a Squeezing Phase Transition
- Numerical Integration of the KPZ and Related Equations on Networks: The Case of the Cayley Tree
- Coherence-induced deep thermalization transition in random permutation quantum dynamics
- Projection Optimization Method for Open-Dissipative Quantum Fluids and its Application to a Single Vortex in a Photon Bose-Einstein Condensate
- Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional nonlinear sigma model and its realization in Heisenberg spin chains
- Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
- Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
- Dephasing-induced Quantum Hall Criticality in the Quantum Anomalous Hall system
- Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
- Process Tensor Approaches to Non-Markovian Quantum Dynamics
- Spontaneous collapse effects on relativistic fermionic matter
- Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
- Inverse Superconductor-Insulator Transition in Weakly Monitored Josephson Junction Arrays
- Motion-driven quantum dissipation in an open electronic system with nonlocal interaction
- Tuning Density and Spin Ordering of Degenerate Fermi Gases in an Optical Cavity