arXiv subjects

S. A. Gardiner

Publications and source records attributed to S. A. Gardiner.

41 records · Page 3Linked to original sources

arXiv2001

Uniting Bose-Einstein condensates in optical resonators

The relative phase of two initially independent Bose-Einstein condensates can be laser cooled to unite the two condensates by putting them into a ring cavity and coupling them with an internal Josephson junction. First, we show that this phase cooling process already appears within a semiclassical model. We calculate the stationary states, find regions of bistable behavior and suggest a Ramsey-type experiment to measure the build up of phase coherence between the condensates. We also study quantum effects and imperfections of the system.

cond-mat↗

arXiv2001

Cavity assisted quasiparticle damping in a Bose-Einstein condensate

We consider an atomic Bose-Einstein condensate held within an optical cavity and interacting with laser fields. We show how the interaction of the cavity mode with the condensate can cause energy due to excitations to be coupled to a lossy cavity mode, which then decays, thus damping the condensate, how to choose parameters for damping specific excitations, and how to target a range of different excitations to potentially produce extremely cold condensates.

cond-mat↗

arXiv1999

Nonlinear Matter Wave Dynamics with a Chaotic Potential

We consider the case of a cubic nonlinear Schrödinger equation with an additional chaotic potential, in the sense that such a potential produces chaotic dynamics in classical mechanics. We derive and describe an appropriate semiclassical limit to such a nonlinear Schrödinger equation, using a semiclassical interpretation of the Wigner function, and relate this to the hydrodynamic limit of the Gross-Pitaevskii equation used in the context of Bose-Einstein condensation. We investigate a specific example of a Gross-Pitaevskii equation with such a chaotic potential: the one-dimensional delta-kicked harmonic oscillator, and its semiclassical limit. We explore the feasibility of experimental realization of such a system in a Bose-Einstein condensate experiment, giving a concrete proposal of how to implement such a configuration, and considering the problem of condensate depletion.

quant-ph↗

arXiv1997

Quantum chaos in an ion trap: the delta-kicked harmonic oscillator

We propose an experimental configuration, within an ion trap, by which a quantum mechanical delta-kicked harmonic oscillator could be realized, and investigated. We show how to directly measure the sensitivity of the ion motion to small variations in the external parameters.

quant-ph↗

arXiv1996

Measurement of Arbitrary Observables of a Trapped Ion

We describe a method to perform a single quantum measurement of an arbitrary observable of a single ion moving in a harmonic potential. We illustrate the measurement procedure with explicit examples, namely the position and phase observables.

quant-ph↗