Dynamical symmetry in quantum dissipative models
arXiv:1912.05495 · doi:10.1103/PhysRevA.104.023304
Abstract
We show that the dynamical symmetry exists in dissipative quantum many-body systems. Under constraints on both Hamiltonian and dissipation parts, the time evolution of particular observables can be symmetric between repulsive and attractive interactions in the Hubbard model, or symmetric between ferromagnetic and anti-ferromagnetic interactions in the Ising model with external fields. We present a theorem to determine the existence of the dynamical symmetry in dissipative systems. This theorem is also responsible for the symmetry of steady states, even without the constraint on the initial state. We demonstrate the applications of our theorem with numerical simulations using tensor network algorithms.
6 pages, 3 figures
References in corpus (23)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- An Open-System Quantum Simulator with Trapped Ions
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Quantum trajectories and open many-body quantum systems
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Quantum-fluid dynamics of microcavity polaritons
- Accurate determination of tensor network state of quantum lattice models in two dimensions
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Dissipative Phase Transition in Central Spin Systems
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Non-Markovian quantum jumps
- Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
- Universal non-equilibrium properties of dissipative Rydberg gases
- Genuine quantum trajectories for non-Markovian processes
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
- Dissipative Binding of Lattice Bosons through Distance-Selective Pair Loss
- Dissipation-driven phase transition in 2D Josephson arrays
- Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models