Dissipative Dynamics and Phase Transitions in Fermionic Systems

Abstract

We study abrupt changes in the dynamics and/or steady state of fermionic dissipative systems produced by small changes of the system parameters. Specifically, we consider open fermionic systems whose dynamics is described by master equations that are quadratic (and, under certain conditions, quartic) in creation and annihilation operators. We analyze both phase transitions in steady state, as well as "dynamical transitions". The latter are characterized by abrupt changes in the rate at which the system asymptotically approaches the steady state. We illustrate our general findings with relevant examples of fermionic (and, equivalently, spin) systems, and show that they can be realized in ion chains.

15 pages, 6 figures; v2: references added, typos corrected; v3: small corrections, improved figure, close to published version

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Cited by in corpus (12)

• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Variational principle for steady states of dissipative quantum many-body systems
• Antiferromagnetic long-range order in dissipative Rydberg lattices
• A Perturbative Approach to Continuous-Time Quantum Error Correction
• Loschmidt echo in many-spin systems: a quest for intrinsic decoherence and emergent irreversibility
• Tailored jump operators for purely dissipative quantum magnetism
• Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements
• Modeling the metastable dynamics of correlated structures
• The Bose Hubbard model with squeezed dissipation
• Vortex formation and dynamics in two-dimensional driven-dissipative condensates
• Hall conductance and topological invariant for open systems