Elastic scattering losses from colliding Bose-Einstein condensates

Ziń, P.; Chwedeńczuk, Jan; Trippenbach, Marek

doi:10.1103/physreva.73.033602

Cited by 32 publications

(50 citation statements)

References 27 publications

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“…The search for efficient non-classical atomic sources is therefore both natural and desirable. There have been many proposals concerning atom pairs, especially the production and observation of individual entangled pairs of atoms through atomic collisions or the breakup of diatomic molecules (Band et al, 2000;Deuar and Drummond, 2007;Duan et al, 2000;Kheruntsyan and Drummond, 2002;Naidon and Masnou-Seeuws, 2006;Norrie et al, 2006;Opatrný and Kurizki, 2001;Pu and Meystre, 2000;Savage et al, 2006;Ziń et al, 2006Ziń et al, , 2005. As emphasized in Duan et al (2000), pair production can be studied in two limits.…”

Section: B Four-wave Mixing Of Matter Wavesmentioning

confidence: 99%

Cold and trapped metastable noble gases

et al. 2012

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We review experimental work on cold, trapped metastable noble gases. We emphasize the aspects which distinguish work with these atoms from the large body of work on cold, trapped atoms in general. These aspects include detection techniques and collision processes unique to metastable atoms. We describe several experiments exploiting these unique features in fields including atom optics and statistical physics. We also discuss precision measurements on these atoms including fine structure splittings, isotope shifts, and atomic lifetimes.

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Section: B Four-wave Mixing Of Matter Wavesmentioning

confidence: 99%

Cold and trapped metastable noble gases

et al. 2012

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“…The Hamiltonian of the system in second quantization reads (see [6,7]) Ĥ ÿ Z d 3 r^ y r; t @ 2 r 2 2m^ r; t g 2 Z d 3 r^ y r; t^ y r; t^ r; t^ r; t; (1) where^ r; t is the bosonic field operator. Atoms interact via two-body contact interaction, determined by the single coupling constant g. As the system consists of two counterpropagating, highly occupied atomic wave packets and a ''sea'' of unoccupied modes, in the spirit of Bogoliubov approximation we decompose the field operator into a c-number condensate wave function Q r; t ÿQ r; t and the quantum field of scattered atomsr; t:…”

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“…[7]. We decompose the field operator into basis modes of a spherically symmetric harmonic oscillator [9] r; t X n;l;m R n;l rY lm ; b n;l;m t;…”

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Simulation of a Single Collision of Two Bose-Einstein Condensates

Chwedeńczuk¹,

Ziń²,

Rza̧żewski

et al. 2006

Phys. Rev. Lett.

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We propose a method for simulating a single realization of a collision of two Bose-Einstein condensates. Recently [Phys. Rev. Lett. 94, 200401 (2005)], we introduced a quantum model of incoherent elastic scattering in a collision of two counterpropagating atomic Gaussian wave packets. Here we show that this model is capable of generating data that can be interpreted as results of a single collisional event. We find a range of parameters, including relative velocity, population, and the size of colliding condensates, where the structure of the halo of scattered atoms in a single realization strongly differs from that averaged over many realizations.

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“…An effective Hamiltonian governing the dynamics of the fluctuating component can then be found [36,37],…”

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“…Although it may appear crude, it has proven invaluable in simple analysis of condensate collisions and encapsulates many physical features of the full process. An effective Hamiltonian of the scattering process, in the Bogoliubov approximation, can be written in the form [36,37] H eff = d 3 r δ † (r, t) − 2 2m ∇ 2 δ (r, t) + 2U |ψ(r, t)| 2δ † (r, t)δ(r, t)…”

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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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Elastic scattering losses from colliding Bose-Einstein condensates

Cited by 32 publications

References 27 publications

Cold and trapped metastable noble gases

Cold and trapped metastable noble gases

Simulation of a Single Collision of Two Bose-Einstein Condensates

Ultracold atoms for foundational tests of quantum mechanics

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