Cavity-induced switching between localized and extended states in a noninteracting Bose-Einstein condensate

Abstract

We study an ultracold atom-cavity coupling system, which had been implemented in an experiment to display weak light nonlinearity [S. Gupta, K. L. Moore, K. W. Murch, and D. M. Stamper-Kurn, Phys. Rev. Lett. 99, 213601 (2007)]. The model is described by a noninteracting Bose-Einstein condensate contained in a Fabry-Pérot optical resonator, in which two incommensurate standing-wave modes are excited and thus form a quasiperiodic optical lattice potential for the atoms. Special emphasis is paid to the variation of the atomic wave function induced by the cavity light field. We show that bistability between the atomic localized and extended states can be generated under appropriate conditions.

Superfluid–Mott-insulator transition of spin-1 bosons in optical resonators

“…On the other hand, although δ c and g have the same sign, the cavity field will be on resonance and can give rise to bistability as those that had been demonstrated in many previous papers [14][15][16][17][18]. Here, we change the cavity parameters to g = −10ω R and δ c = −450ω R , and Fig.…”

“…This enables us to enter into a new regime of cavity quantum electrodynamics (CQED) in which a cavity field at the level of a single photon can significantly affect the collective motion of the atomic condensate [12]. Previous papers focused on the interplay between the cavity field and the atomic external degrees of freedom-the center-of-mass motion of scalar condensates [13][14][15][16][17]. In particular, atoms can move in an optical lattice potential formed by the intracavity light field of a Fabry-Pérot (FP) cavity and are subject to cavity-mediated nonlinear interactions.…”

“…In particular, atoms can move in an optical lattice potential formed by the intracavity light field of a Fabry-Pérot (FP) cavity and are subject to cavity-mediated nonlinear interactions. This system can support novel physics, such as the self-organization of atoms [13], weak-light nonlinearity [14], cavity optomechanics [15], the cavity-mediated Bose-Hubbard (BH) model [16], and cavity-induced atom localization [17].…”

Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling

“…[3][4][5] Early studies of the AA model [6][7][8][9][10][11] were focused on the properties of localized eigenfunctions near the transition. Lately, the interest to the AA model has been revived [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] . Nowadays, it is invoked to study different observable quantities in the presence of the quasiperiodic background.…”

“…Cavity quantum electrodynamics with cold atoms 33,34 offers an alternative approach to emulating the AA Hamiltonian 13,21 . Experimental advances motivated new theoretical studies towards the extension of the AA model.…”