Phase Transitions in Nonreciprocal Driven-Dissipative Condensates

• URL: http://arxiv.org/abs/2502.05267v1
• Date: Fri, 07 Feb 2025 19:00:07 GMT
• Title: Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Authors: Ron Belyansky, Cheyne Weis, Ryo Hanai, Peter B. Littlewood, Aashish A. Clerk,
• Abstract summary: We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. Our model avoids post-selection or unphysical non-Hermitian Hamiltonians and is experimentally realizable in platforms such as superconducting circuits.
• Score: 0.6291443816903801
• License:
• Abstract: We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the interplay between coherent and incoherent dynamics generates nonreciprocal interactions between sites. Using a mean-field approach, we analyze the phase diagram under both periodic and open boundary conditions. For periodic boundaries, the system always forms a condensate at nonzero momentum and frequency, resulting in a time-dependent traveling wave pattern. In contrast, open boundaries reveal a far richer phase diagram, featuring multiple static and dynamical phases, as well as exotic phase transitions, including the spontaneous breaking of particle-hole symmetry associated with a critical exceptional point and phases with distinct bulk and edge behavior. Our model avoids post-selection or unphysical non-Hermitian Hamiltonians and is experimentally realizable in platforms such as superconducting circuits.

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