Continuous Dissipative Phase Transitions without Symmetry Breaking

• URL: http://arxiv.org/abs/2110.11902v2
• Date: Sun, 16 Jan 2022 16:12:14 GMT
• Title: Continuous Dissipative Phase Transitions without Symmetry Breaking
• Authors: Fabrizio Minganti, Ievgen I. Arkhipov, Adam Miranowicz, and Franco Nori
• Abstract summary: Dissipative phase transitions (DPTs) of second order are often connected with spontaneous symmetry breaking ( SSB) We prove this statement to be wrong, showing that SSB is not a necessary condition for the occurrence of second-order DPTs in out-of-equilibrium open quantum systems. This new type of phase transition cannot be interpreted as a "semiclassical" bifurcation, because, after the DPT, the system steady state remains unique.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been fruitfully applied to out-of-equilibrium open quantum systems. Dissipative phase transitions (DPTs) of second order are often connected with SSB, in close analogy with well-known thermal second-order PTs in closed quantum and classical systems. That is, a second-order DPT should disappear by preventing the occurrence of SSB. Here, we prove this statement to be wrong, showing that, surprisingly, SSB is not a necessary condition for the occurrence of second-order DPTs in out-of-equilibrium open quantum systems. We analytically prove this result using the Liouvillian theory of dissipative phase transitions, and demonstrate this anomalous transition in a paradigmatic laser model, where we can arbitrarily remove SSB while retaining criticality, and on a $Z_2$-symmetric model of a two-photon Kerr resonator. This new type of phase transition cannot be interpreted as a "semiclassical" bifurcation, because, after the DPT, the system steady state remains unique.

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