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Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction

Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
We formulate computationally efficient classical stochastic measurement trajectories for a multimode quantum
system under continuous observation. Specifically, we consider the nonlinear dynamics of an atomic Bose-
Einstein condensate contained within an optical cavity subject to continuous monitoring of the light leaking
out of the cavity. The classical trajectories encode within a classical phase-space representation a continuous
quantum measurement process conditioned on a given detection record. We derive a Fokker-Planck equation
for the quasiprobability distribution of the combined condensate-cavity system. We unravel the dynamics into
stochastic classical trajectories that are conditioned on the quantum measurement process of the continuously
monitored system. Since the dynamics of a continuously measured observable in a many-atom system can be
closely approximated by classical dynamics, the method provides a numerically efficient and accurate approach
to calculate the measurement record of a large multimode quantum system. Numerical simulations of the
continuously monitored dynamics of a large atom cloud reveal considerably fluctuating phase profiles between
different measurement trajectories, while ensemble averages exhibit local spatially varying phase decoherence.
Individualmeasurement trajectories lead to spatial pattern formation and optomechanical motion that solely result
from the measurement backaction. The backaction of the continuous quantum measurement process, conditioned
on the detection record of the photons, spontaneously breaks the symmetry of the spatial profile of the condensate
and can be tailored to selectively excite collective modes.
1050-2947
023628-1
Lee, Mark D.
fc9e7b04-aaec-4c62-a4c8-c97e1346233a
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Lee, Mark D.
fc9e7b04-aaec-4c62-a4c8-c97e1346233a
Ruostekoski, Janne
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

Lee, Mark D. and Ruostekoski, Janne (2014) Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction. Physical Review A, 90 (2), 023628-1. (doi:10.1103/PhysRevA.90.023628).

Record type: Article

Abstract

We formulate computationally efficient classical stochastic measurement trajectories for a multimode quantum
system under continuous observation. Specifically, we consider the nonlinear dynamics of an atomic Bose-
Einstein condensate contained within an optical cavity subject to continuous monitoring of the light leaking
out of the cavity. The classical trajectories encode within a classical phase-space representation a continuous
quantum measurement process conditioned on a given detection record. We derive a Fokker-Planck equation
for the quasiprobability distribution of the combined condensate-cavity system. We unravel the dynamics into
stochastic classical trajectories that are conditioned on the quantum measurement process of the continuously
monitored system. Since the dynamics of a continuously measured observable in a many-atom system can be
closely approximated by classical dynamics, the method provides a numerically efficient and accurate approach
to calculate the measurement record of a large multimode quantum system. Numerical simulations of the
continuously monitored dynamics of a large atom cloud reveal considerably fluctuating phase profiles between
different measurement trajectories, while ensemble averages exhibit local spatially varying phase decoherence.
Individualmeasurement trajectories lead to spatial pattern formation and optomechanical motion that solely result
from the measurement backaction. The backaction of the continuous quantum measurement process, conditioned
on the detection record of the photons, spontaneously breaks the symmetry of the spatial profile of the condensate
and can be tailored to selectively excite collective modes.

Other
PhysRevA.90.023628 - Version of Record
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e-pub ahead of print date: 22 August 2014
Published date: 22 August 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 368478
URI: http://eprints.soton.ac.uk/id/eprint/368478
ISSN: 1050-2947
PURE UUID: 7ff70393-8101-400e-9db9-33823655b09b

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Date deposited: 02 Sep 2014 16:21
Last modified: 20 Nov 2021 18:22

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Contributors

Author: Mark D. Lee

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