Dissipation-Induced Instabilities of a Spinor Bose-Einstein Condensate Inside an Optical Cavity

Abstract

We investigate the dynamics of a spinor Bose-Einstein condensate inside an optical cavity, driven transversely by a laser with a controllable polarization angle. We focus on a two-component Dicke model with complex light-matter couplings, in the presence of photon losses. We calculate the steady-state phase diagram and find dynamical instabilities in the form of limit cycles, heralded by the presence of exceptional points and level attraction. We show that the instabilities are induced by dissipative processes which generate non-reciprocal couplings between the two collective spins. Our predictions can be readily tested in state-of-the-art experiments and open up the study of non-reciprocal many-body dynamics out of equilibrium.

Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates

“…Many-particle two-level systems such as lasers and condensates can host complex solutions [5] and give insight into fundamental physics of coupled systems [6,7] through detailed experimental control. They also form the solid-state implementation of semiclassical [8] or fully quantum qubits, like superconducting circuits for quantum information processing.…”

Self-ordering Supersolid Phase beyond Dicke Superradiance in a Ring Cavity

“…In particular, an additional collective-emission-induced cooling mechanism could facilitate the experimental investigations of crystal properties in cavity quantum electrodynamics (QED) [29,30]. Such cavity-mediated long-range interaction [31][32][33][34][35][36][37][38] and self-ordering dynamic SOC [39][40][41][42] implicate exciting opportunities for creating exotic quantum matters [43][44][45][46][47][48]. Recently, a self-organized lattice-supersolid phase with breaking a discrete Z 2 sym-metry has been experimental observed based on superradiant Dicke phase transition [37][38][39][40].…”

“…Our scheme could provide a versatile platform for creating and detecting intriguing quantum phases in cavity QED and introduce new capabilities into quantum simulations [26][27][28]. Interesting, the controlled strongly cavity-mediated long-range spin-exchange interaction for atomic fields can be derived by integrating out the cavity field [54], which could facilitate the study of complex phenomena of quantum matters [43][44][45][46][47][48].…”

Self-oscillating geometric pump in a dissipative atom-cavity system

“…This distortion reflects the dissipative coupling between the cavity quadratures. Sufficiently strong dissipative coupling eventually drives a dynamical instability [13,29,30], if the system is prepared in vincinity to the transition point between the two Z 2 symmetry classes. n our case, the system is dragged in a chiral motion in quadrature space around a singularity and simultaneously through the Z 2 classes of the crystals.…”