Disorder-Driven Density and Spin Self-Ordering of a Bose-Einstein Condensate in a Cavity

Abstract

We study spatial spin and density self-ordering of a two-component Bose-Einstein condensate via collective Raman scattering into a linear cavity mode. The onset of the Dicke superradiance phase transition is marked by a simultaneous appearance of a crystalline density order and a spin-wave order. The latter spontaneously breaks the discrete ${\mathbf{Z}}_2$ symmetry between even and odd sites of the cavity optical potential. Moreover, in the superradiant state the continuous $U(1)$ symmetry of the relative phase of the two condensate wavefunctions is explicitly broken by the cavity-induced position-dependent Raman coupling with a zero spatial average. Thus, the spatially-averaged relative condensate phase is locked at either $\pi /2$ or $-\pi /2$. This continuous symmetry breaking and relative condensate phase locking by a zero-average Raman field can be considered as a generic order-by-disorder process similar to the random-field-induced order in the two-dimensional classical ferromagnetic $XY$ spin model. However, the seed of the random field in our model stems from quantum fluctuations in the cavity field and is a dynamical entity affected by self-ordering. The spectra of elementary excitations exhibit the typical mode softening at the superradiance threshold.

6+4 pages, 3 figures

References in corpus (14)

• Cold atoms in cavity-generated dynamical optical potentials
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity QED with a Bose-Einstein condensate
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Dynamical phase transition in the open Dicke model
• Self-organization of a Bose-Einstein condensate in an optical cavity
• Ultracold atoms in optical lattices generated by quantized light fields
• A Superradiant Topological Peierls Insulator inside an Optical Cavity
• An adjustable-length cavity and Bose-Einstein condensate apparatus for multimode cavity QED
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Meissner-like effect for synthetic gauge field in multimode cavity QED
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Quantum kinetics of ultracold fermions coupled to an optical resonator
• Cavity-induced generation of non-trivial topological states in a two-dimensional Fermi gas

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