Continuous quantum measurement of a Bose-Einstein condensate: A stochastic Gross-Pitaevskii equation

Dalvit, Diego A. R.; Dziarmaga, Jacek; Onofrio, Roberto

doi:10.1103/physreva.65.053604

Cited by 34 publications

(25 citation statements)

References 53 publications

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“…However, this depletion scales completely differently than that caused by s-wave scattering and is strongly influenced by the presence of the resonance. The diffusion of atoms out of the condensate can also be interpreted as a quantum measurement-induced back-action process which stems from the dispersive atom-light interaction [5,19] and occurs even in phase contrast imaging of a condensate where the photon field is propagating in free space [46,47]. In a recent paper [18], we have shown that the depletion has a large steady-state value even in the limit of vanishing interaction strength U 0 .…”

Section: Correlations and Entanglementmentioning

confidence: 93%

Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations, and entanglement

2010

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A Bose-Einstein condensate of ultracold atoms inside the field of a laser-driven optical cavity exhibits dispersive optical bistability. We describe this system by using mean-field approximation and by analyzing the correlation functions of the linearized quantum fluctuations around the mean-field solution. The entanglement and the statistics of the atom-field quadratures are given in the stationary state. It is shown that the mean-field solution, that is, the Bose-Einstein condensate, is robust against entanglement generation for most of the phase diagram.

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Section: Correlations and Entanglementmentioning

confidence: 93%

Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations, and entanglement

2010

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“…The Hartree-Fock approximation for the evolution (31) can be applied to the master equation (33) using the techniques analyzed in Ref. [15].…”

Section: Multimode Systemmentioning

confidence: 99%

“…III and the techniques in Ref. [29], we find the master equation (33) gives the following functional NPW distribution evolution:…”

Section: Multimode Systemmentioning

confidence: 99%

“…Measurements that are lower order with respect to the field operators do not conserve the number and may be suited to traditional coherentstate representations, but in many cases, these systems may be treated using analytic techniques, such as the Kalman filter, making simulation less important. Number-conserving measurements are quite common in engineered monitoring of BECs [14,15,[33][34][35][36][37][38]. Typically, off-resonant light is used to image the density moments of a BEC.…”

Section: Introductionmentioning

confidence: 99%

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Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

Hush

Carvalho²,

Hope³

2012

Phys. Rev. A

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Simulation of conditional master equations is important to describe systems under continuous measurement and for the design of control strategies in quantum systems. For large bosonic systems, such as Bose-Einstein condensates and atom lasers, full quantum-field simulations must rely on scalable stochastic methods. Currently, these methods have a convergence time that is restricted by the use of representations based on coherent states. Here, we show that typical measurements on atom-optical systems have a common form that allows for an efficient simulation using the number-phase Wigner (NPW) phase-space representation. We demonstrate that a stochastic method based on the NPW can converge orders of magnitude longer and more precisely than its coherent equivalent. We then examine how these methods can be used in multimode simulations, demonstrated by a simulation of a two-mode Bose-Hubbard model. Finally, we combine these techniques to demonstrate a full-field simulation of a realistic multimode quantum system controlled by active feedback.

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“…While this back action can be a useful resource [6][7][8][9][10][11][12], more often it leads to unwanted heating or decoherence [13][14][15][16][17]. We consider measuring the local density of atoms in a lattice.…”

Section: Introductionmentioning

confidence: 99%

Heating from continuous number density measurements in optical lattices

Yanay

Mueller

2014

Phys. Rev. A

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We explore the effects of continuous number density measurement on atoms in an optical lattice. By integrating a master equation for quantum observables, we calculate how single particle correlations decay. We consider weakly-and strongly-interacting bosons and noninteracting fermions. Even in the Mott regime, such measurements destroy correlations and increase the average energy, as long as some hopping is allowed. We explore the role of spatial resolution, and find that the heating rate is proportional to the amount of information gained from such measurements.

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Continuous quantum measurement of a Bose-Einstein condensate: A stochastic Gross-Pitaevskii equation

Cited by 34 publications

References 53 publications

Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations, and entanglement

Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations, and entanglement

Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

Heating from continuous number density measurements in optical lattices

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