Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice

Abstract

Driven-dissipative quantum many-body systems have attracted increasing interest in recent years as they lead to novel classes of quantum many-body phenomena. In particular, mean-field calculations predict limit cycle phases, slow oscillations instead of stationary states, in the long-time limit for a number of driven-dissipative quantum many-body systems. Using a cluster mean-field and a self-consistent Mori projector approach, we explore the persistence of such limit cycles as short range quantum correlations are taken into account in a driven-dissipative Heisenberg model.

13 pages, 7 figures

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• Driven-dissipative criticality within the discrete truncated Wigner approximation
• Driven-dissipative Ising Model: An exact field-theoretical analysis
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• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
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• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains
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• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
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• Steady states of a driven dissipative dipolar XXZ chain
• Kardar-Parisi-Zhang scaling in time-crystalline matter
• Time-reversal symmetry breaking and emergence in driven-dissipative Ising models
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Microscopic quantum generalization of classical Liénard oscillators
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