Pair correlations of scattered atoms from two colliding Bose-Einstein condensates: Perturbative approach

Chwedeńczuk, Jan; Ziń, P.; Trippenbach, Marek; Perrin, Aurélien; Leung, Vanessa; Boiron, Denis; Westbrook, Christoph I

doi:10.1103/physreva.78.053605

Cited by 26 publications

(54 citation statements)

References 30 publications

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“…This is different to the result arrived at in Ref. [35], as the orientation of their collision led to a significantly different characteristic width of the function in the u and v variables. This allowed the final pair of integrals to decouple and be performed exactly.…”

Section: A2 Perturbative Approach For Inhomogeneous Condensates In Tcontrasting

confidence: 99%

“…In typical experiments approximately 5% of the initial condensate population is scattered into the collision halo, which can be imaged in position-space using a micro-channel plate (MCP) detector after ballistic time-of-flight expansion, illustrated in Extensive work has been carried out to theoretically and experimentally characterize the process of spontaneous four-wave mixing in colliding condensates. Importantly for the results of Chapters 4 and 5, there has been shown to be excellent qualitative and quantitative agreement between first-principles numerical simulations and experimental observations on many features of the collision halo, including variations in the radius and thickness of the halo [6,34] which are not encompassed by simpler analytic models [35] (see Appendix A for further details).…”

Section: Spontaneous Four-wave Mixing In Colliding Boseeinstein Condementioning

confidence: 73%

“…and we use the fact that G (2) (k, k , t 1 ) itself is typically well approximated [3,7,35] by a Gaussian function of the form…”

Section: Stochastic Bogoliubov Simulations: Results and Discussionmentioning

confidence: 99%

“…In the case of the positive-P representation, these averages correspond to normally-ordered products of annihilation and creation operators 35) where the colon notation indicates normal ordering (i.e. all creation operators are to the left of all annihilation operators).…”

Section: 1 Basic Theorymentioning

confidence: 99%

“…Various analytic and numerical techniques have been used, focused on the production of scattered atom pairs [3,6,35,79]. We present here two analytic techniques which, while subject to constraints in terms of physical applicability, provide an excellent starting point in terms of understanding the origin of various phenomena which arise through the collision process.…”

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confidence: 99%

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Ultracold atoms for foundational tests of quantum mechanics

Lewis-Swan¹

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We investigate the generation, characterization and measurement of non-classical correlations and entanglement in ultracold atomic gases. Specifically, we propose new tests to demonstrate non-classical correlations, Einstein-Podolsky-Rosen (EPR) entanglement and Bell inequality violations, in systems involving dilute gas Bose-Einstein condensates (BECs). We focus on the challenges of generating and preserving these correlations in atom-optics schemes with massive particles and define appropriate operational measurements to demonstrate them experimentally. Further, we characterize how measures of EPR entanglement and violations of a Bell inequality evolve with time and scale with system size.To begin, we detail a theoretical proposal to demonstrate the well-known optical HongOu-Mandel (HOM) effect of destructive quantum interference with massive particles. Our proposed matter-wave experiment, realized recently in a related experimental setup [Lopes et. al., Nature 520, 66 (2015)], utilizes pair-correlated atoms produced via spontaneous fourwave mixing in colliding BECs. The atom pairs are then subjected to Bragg pulses -the atom-optics equivalent of optical mirrors and beam-splitters -to realize a HOM atom interferometer. By taking advantage of the multimode nature of the four-wave mixing process we formulate a measurement protocol which, unlike the optical case, does not require repeated measurements for different beam-splitter settings. We perform numerical simulations of a realistic experimental system and predict a HOM 'dip' visibility of ∼ 69%, indicating the correlations between atom pairs are stronger than classically allowed.In Chapter 5 we outline a theoretical proposal to demonstrate a violation of a motionalstate Bell inequality with massive particles. Identically to Chapter 4, the proposal uses pairs of momentum-entangled atoms produced via spontaneous four-wave mixing in colliding BECs. However, this scheme requires two pairs of atoms which are used as the input state of an atom-optics analog of the Rarity-Tapster interferometer, constructed via a sequence of Bragg pulses. We formulate a measurable form of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality taking into account experimental limitations, and perform numerical simulations of a realistic experimental system for a range of parameters. We predict values of the CHSH-Bell parameter up to S 2.5, demonstrating a violation of the CHSH-Bell inequality which is bounded by S ≤ 2 for local hidden-variable theories.In Chapter 6 we investigate the prospect of demonstrating EPR entanglement between massive particles via spin-changing collisions in a spinor BEC. This investigation is motivated by recent experimental work of Gross et al. [Nature 480, 219 (2011)] who reported inconclusive results in an attempt to measure EPR entanglement. In the experiment, spinchanging collisions between atoms in the (F, m F ) = (2, 0) state lead to pairs of strongly correlated atoms being created in opposing (F, m F ) = (2, ±1) states. For m F = ±1 states in...

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Section: A2 Perturbative Approach For Inhomogeneous Condensates In Tcontrasting

confidence: 99%

Section: Spontaneous Four-wave Mixing In Colliding Boseeinstein Condementioning

confidence: 73%

“…and we use the fact that G (2) (k, k , t 1 ) itself is typically well approximated [3,7,35] by a Gaussian function of the form…”

Section: Stochastic Bogoliubov Simulations: Results and Discussionmentioning

confidence: 99%

Section: 1 Basic Theorymentioning

confidence: 99%

mentioning

confidence: 99%

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Ultracold atoms for foundational tests of quantum mechanics

Lewis-Swan¹

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Introduction and Background Physics

Lewis-Swan

2016

Springer Theses

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Proposal for a Motional-State Bell Inequality Test with Ultracold Atoms

Lewis-Swan¹

2016

Springer Theses

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We propose and theoretically simulate an experiment for demonstrating a motional-state Bell inequality violation for pairs of momentum-entangled atoms produced in Bose-Einstein condensate collisions. The proposal is based on realizing an atom-optics analog of the Rarity-Tapster optical scheme: it uses laser-induced Bragg pulses to implement two-particle interferometry on the underlying Bell state for two pairs of atomic scattering modes with equal but opposite momenta. The collision dynamics and the sequence of Bragg pulses are simulated using the stochastic Bogoliubov approach in the positive-P representation. We predict values of the ClauserHorne-Shimony-Holt (CHSH) parameter up to S 2.5 for experimentally realistic parameter regimes, showing a strong violation of the CSHS-Bell inequality bounded classically by S 2.

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Pair correlations of scattered atoms from two colliding Bose-Einstein condensates: Perturbative approach

Cited by 26 publications

References 30 publications

Ultracold atoms for foundational tests of quantum mechanics

Ultracold atoms for foundational tests of quantum mechanics

Introduction and Background Physics

Proposal for a Motional-State Bell Inequality Test with Ultracold Atoms

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