Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
MetadataShow full item record
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 time, whereas in thermodynamic equilibrium it arises from the properties of the (free-)energy. Tiny correlations may be amplified in the dynamics and therefore have a strong impact in the steady state. To this scope, by combining the cluster methods extensively used in equilibrium phase transitions to quantum trajectories and tensor-network techniques, we extend them to non-equilibrium phase transitions in dissipative many-body systems. We analyze in detail a model of spins-1/2 on a lattice interacting through an XYZ Hamiltonian, each of them coupled to an independent environment which 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 re-entrance 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.
Jin , J , Biella , A , Viyuela , O , Mazza , L , Keeling , J , Fazio , R & Rossini , D 2016 , ' Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems ' Physical Review X , vol 6 , no. 3 , 031011 . DOI: 10.1103/PhysRevX.6.031011
Physical Review X
This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.