Exact bistability and time pseudo-crystallization of driven-dissipative fermionic lattices

Abstract

The existence of bistability in quantum optical systems remains a intensely debated open question beyond the mean-field approximation. Quantum fluctuations are finite-size corrections to the mean-field approximation used because the full exact solution is unobtainable. Usually, quantum fluctuations destroy the bistability present on the mean-field level. Here, by identifying and using exact modulated semi-local dynamical symmetries in a certain quantum optical models of drivendissipative fermionic chains we exactly prove bistability in precisely the quantum fluctuations. Surprisingly, rather than destroying bistability, the quantum fluctuations themselves exhibit bistability, even though it is absent on the mean-field level for our systems. Moreover, the models studied acquire additional thermodynamic dynamical symmetries that imply persistent periodic oscillations in the quantum fluctuations, constituting pseudo-variants of boundary time crystals. Physically, these emergent operators correspond to finite-frequency and finite-momentum semi-local Goldstone modes. Our work therefore provides to the best of our knowledge the first example of a provably bistable quantum optical system.

The Bethe ansatz for a new integrable open quantum system

“…The coupling with the environment has a non-negligible influence on the dynamics of many-particle systems in both classical and quantum regimes. Due to a vast number of applications such as, cold atoms, [2,3,4,5], electronic devices [6], quantum circuits, [7,8] condensed matter, [6,9], quantum optics [10,11], traffic models [12], the theory of open quantum system has become a topic of great interest in recent years. Within the Markovian approximation, an open system (reduced) density matrix evolves via the Lindblad master equation, [13,14,15,16,17]…”

Protecting coherence from environment via Stark many-body localization in a Quantum-Dot Simulator

“…However, an important aspect of the SMBL dynamical ℓ−bits still remains unanswered, viz., what happens to them when the system is coupled to external (thermal) baths (cf. [49,50])?…”

Driven-Dissipative Time Crystalline Phases in a Two-Mode Bosonic System with Kerr Nonlinearity

“…Time crystal (TC) phases of matter have been predicted theoretically in isolated Floquet driven systems and drivendissipative systems [19][20][21][22][23][24][25][26][27][28][29][30][31], and have recently been observed experimentally [32][33][34][35][36][37]. Time crystals were originally introduced as the temporal analogue of spatial crystals where the time translation symmetry of a system is broken [38].…”