Nonequilibrium phase transition in an open quantum spin system with long-range interaction

Abstract

We investigate a nonequilibrium phase transition in a dissipative and coherent quantum spin system using the quantum Langevin equation and mean-field theory. Recently, the quantum contact process (QCP) was theoretically investigated using the Rydberg antiblockade effect, in particular, when the Rydberg atoms were excited in s-states so that their interactions were regarded as being between the nearest neighbors. However, when the atoms are excited to d-states, the dipole-dipole interactions become effective, and long-range interactions must be considered. Here, we consider a quantum spin model with a long-range QCP, where the branching and coagulation processes are allowed not only for the nearest-neighbor pairs, but also for long-distance pairs, coherently and incoherently. Using the semiclassical approach, we show that the mean-field phase diagram of our long-range model is similar to that of the nearest-neighbor QCP, where the continuous (discontinuous) transition is found in the weak (strong) quantum regime. However, at the tricritical point, we find a new universality class, which was neither that of the QCP at the tricritical point nor that of the classical directed percolation model with long-range interactions. Implementation of the long-range QCP using interacting cold gases is discussed.

10 pages, 2 figures

References in corpus (31)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• The physics of dipolar bosonic quantum gases
• Observation of Rydberg blockade between two atoms
• Realizing a lattice spin model with polar molecules
• Universality classes in nonequilibrium lattice systems
• Directed percolation criticality in turbulent liquid crystals
• Non-equilibrium quantum magnetism in a dipolar lattice gas
• Antiblockade in Rydberg excitation of an ultracold lattice gas
• Evidence of antiblockade in an ultracold Rydberg gas
• A Universal Transition to Turbulence in Channel Flow
• Experimental observation of a phase transition in the evolution of many-body systems with dipolar interactions
• Many-body theory of excitation dynamics in an ultracold Rydberg gas
• Levy-flight spreading of epidemic processes leading to percolating clusters
• Far from equilibrium quantum magnetism with ultracold polar molecules
• On possible experimental realizations of directed percolation
• Absorbing state phase transition with competing quantum and classical fluctuations
• A model for anomalous directed percolation
• Experimental signatures of an absorbing-state phase transition in an open driven many-body quantum system
• Non-equilibrium Phase Transitions with Long-Range Interactions
• Quantum Levy flights and multifractality of dipolar excitations in a random system
• Tricritical directed percolation
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Non-equilibrium universality in the dynamics of dissipative cold atomic gases
• Tricritical directed percolation in 2+1 dimensions
• Field theory of directed percolation with long-range spreading
• Levy flights and multifractality in quantum critical diffusion and in classical random walks on fractals
• Epidemic dynamics in open quantum spin systems
• Localization and critical diffusion of quantum dipoles in two dimensions
• Phase transitions in a lattice population model
• Contact processes with long-range interactions
• Cluster geometry and survival probability in systems driven by reaction-diffusion dynamics

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