Cluster Mean-Field Approach to the Steady-State Phase Diagram of Dissipative Spin Systems
Jul 27, 2016
18 pages
Published in:
- Phys.Rev.X 6 (2016) 3, 031011
- Published: Jul 27, 2016
Citations per year
Abstract: (APS)
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.- Quantum Information, Science & Technology
- Open quantum systems
- Quantum phase transitions
- Quantum spin models
- Many-body techniques
- spin: model
- critical phenomena
- short-range
- ion
- Rydberg
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