Cluster Mean-Field Approach to the Steady-State Phase Diagram of Dissipative Spin Systems
Year: 2016
Authors: Jin J.S., Biella A., Viyuela O., Mazza L., Keeling J., Fazio R., Rossini D.
Autors Affiliation: Dalian Univ Technol, Sch Phys & Optoelect Engn, Dalian 116024, Peoples R China; Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy; Ist Nanosci CNR, I-56126 Pisa, Italy; Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA; Univ Complutense, Dept Fis Teor 1, E-28040 Madrid, Spain; PSL Res Univ, Ecole Normale Super, Dept Phys, CNRS, 24 Rue Lhomond, F-75005 Paris, France; Univ St Andrews, Sch Phys & Astron, SUPA, St Andrews KY16 9SS, Fife, Scotland; Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy.
Abstract: We show that short-range correlations have a dramatic impact on the steady-state phase diagram of quantum driven-dissipative systems. This effect, never observed in equilibrium, follows from the fact that ordering in the steady state is of dynamical origin, and is established only at very long times, whereas in thermodynamic equilibrium it arises from the properties of the (free) energy. To this end, by combining the cluster methods extensively used in equilibrium phase transitions to quantum trajectories and tensor-network techniques, we extend them to nonequilibrium phase transitions in dissipative many-body systems. We analyze in detail a model of spin-1/2 on a lattice interacting through an XYZ Hamiltonian, each of them coupled to an independent environment that induces incoherent spin flips. In the steady-state phase diagram derived from our cluster approach, the location of the phase boundaries and even its topology radically change, introducing reentrance of the paramagnetic phase as compared to the single-site mean field where correlations are neglected. Furthermore, a stability analysis of the cluster mean field indicates a susceptibility towards a possible incommensurate ordering, not present if short-range correlations are ignored.
Journal/Review: PHYSICAL REVIEW X
Volume: 6 (3) Pages from: 31011-1 to: 31011-18
More Information: We warmly thank I. Carusotto, C. Ciuti, M. Fleischhauer, S. Gopalakrishnan, M. Hafezi, and T. Lee for useful discussions. A. B., L. M., J. K., R. F., and D. R. acknowledge the Kavli Institute for Theoretical Physics, University of California, Santa Barbara (USA) for the hospitality and support during the completion of this work. This research was supported in part by the Italian MIUR via FIRB Project No. RBFR12NLNA, by the EU integrated projects SIQS, QUIC, by the National Science Foundation under Grant No. NSF PHY11-25915, and by the National Research Foundation, Prime Ministers Office, Singapore under its Competitive Research Programme (CRP-QSYNC Award No. NRF-CRP14-2014-02). O. V. acknowledges support from the Spanish MINECO Grant No. FIS2012-33152, the CAM research consortium QUITEMAD+, the U.S. Army Research Office through Grant No. W911NF-14-1-0103, the FPU MEC Grant, and Residencia de Estudiantes. J. K. acknowledges support from the EPSRC program TOPNES (EP/I031014/1). J. J. was supported by the National Natural Science Foundation of China under Grants No. 11547119 and No. 11305021, by the Fundamental Research Funds for the Central Universities, No. DUT15RC(3)034, and by Natural Science Foundation of Liaoning Province, No. 2015020110. L. M. is supported by LabEX ENS-ICFP: ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*.KeyWords: Quantum; Driven; Cavity; Simulations; AtomsDOI: 10.1103/PhysRevX.6.031011Citations: 144data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)