Signatures of a quantum stabilized fluctuating phase and critical dynamics in a kinetically-constrained open many-body system with two absorbing states

Abstract

We introduce and investigate an open many-body quantum system in which kinetically constrained coherent and dissipative processes compete. The form of the incoherent dissipative dynamics is inspired by that of epidemic spreading or cellular-automaton-based computation related to the density-classification problem. It features two non-fluctuating absorbing states as well as a ${\mathcal{Z}}_2$-symmetric point in parameter space. The coherent evolution is governed by a kinetically constrained ${\mathcal{Z}}_2$-symmetric many-body Hamiltonian which is related to the quantum XOR-Fredrickson-Andersen model. We show that the quantum coherent dynamics can stabilize a fluctuating state and we characterize the transition between this active phase and the absorbing states. We also identify a rather peculiar behavior at the ${\mathcal{Z}}_2$-symmetric point. Here the system approaches the absorbing-state manifold with a dynamics that follows a power-law whose exponent continuously varies with the relative strength of the coherent dynamics. Our work shows how the interplay between coherent and dissipative processes as well as symmetry constraints may lead to a highly intricate non-equilibrium evolution and may stabilize phases that are absent in related classical problems.

10 pages, 4 figures

References in corpus (10)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Universal non-equilibrium properties of dissipative Rydberg gases
• Dark state cooling of atoms by superfluid immersion
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics
• Directed percolation in non-unitary quantum cellular automata
• Open quantum reaction-diffusion dynamics: absorbing states and relaxation

Cited by in corpus (9)

• Reaction-limited quantum reaction-diffusion dynamics
• Large-scale universality in quantum reaction-diffusion from Keldysh field theory
• Quantum reaction-limited reaction-diffusion dynamics of annihilation processes
• Quantum cellular automata for quantum error correction and density classification
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Kinetics of Quantum Reaction-Diffusion systems
• Reaction-diffusion dynamics of the weakly dissipative Fermi gas
• Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics