Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1401.0666 · Journal of Physics Conference Series

Entangling two distinguishable quantum bright solitons via collisions

T. P. Billam, Caroline L. Blackley, Bettina Gertjerenken, Simon L. Cornish, Christoph Weiß

Published Apr 9, 2014• 5 citations
arXivHTMLPDF

Abstract

The generation of mesoscopic Bell states via collisions of distinguishable bright solitons has been suggested in Phys. Rev. Lett. 111 , 100406 (2013). Here, we extend our former proposal to two hyperfine states of 85 Rb instead of two different atomic species, thus simplifying possible experimental realisations. A calculation of the s-wave scattering lengths for the hyperfine states ( f , m f ) = (2, +2) and (3, +2) identifies parameter regimes suitable for the creation of Bell states with an advantageously broad Feshbach resonance. We show the generation of Bell states using the truncated Wigner method for the soliton's centre of mass and demonstrate the validity of this approach by a comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.

DOI
10.1088/1742-6596/497/1/012033

Related papers

Generating Mesoscopic Bell States via Collisions of Distinguishable Quantum Bright Solitons

Bettina Gertjerenken, T. P. Billam, Caroline L. Blackley +4 more

We investigate numerically the collisions of two distinguishable quantum matter-wave bright solitons in a one-dimensional harmonic trap. We show that such collisions can be used to generate mesoscopic Bell states that can reliably be distinguished from statistical mixtures. Calculation of the relevant s-wave scattering lengths predicts that such states could potentially be realized in quantum-degenerate mixtures of 85Rb and 133Cs. In addition to fully quantum simulations for two distinguishable two-particle solitons, we use a mean-field description supplemented by a stochastic treatment of quantum fluctuations in the soliton's center of mass: we demonstrate the validity of this approach by comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.

arXiv:1301.0718•Physical Review Letters•Sep 6, 2013•49 citations

Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Bettina Gertjerenken, Christoph Weiß

The scattering of bright quantum solitons at barrier potentials in one-dimensional geometries is investigated. Such protocols have been predicted to lead to the creation of nonlocal quantum superpositions. The centre-of-mass motion of these bright matter-wave solitons generated from attractive Bose-Einstein condensates can be analysed with the effective potential approach. An application to the case of two particles being scattered at a delta potential allows analytical calculations not possible for higher particle numbers as well as a comparison with numerical results. Both for the dimer and a soliton with particle numbers on the order of N = 100, we investigate the signatures of the coherent superposition states in an interferometric setup and argue that experimentally an interference pattern would be particularly well observable in the centre-of-mass density. Quantum superposition states of ultra-cold atoms are interesting as input states for matter-wave interferometry as they could improve signal-to-noise ratios.

arXiv:1208.4984•Journal of Physics B Atomic Molecular and Optical Physics•Aug 8, 2012•16 citations

Hyper-entangling mesoscopic bound states

Aparna Sreedharan, Sridevi Kuriyattil, Sebastian Wüster

Abstract We predict hyper-entanglement generation by binary scattering of mesoscopic bound states, considering solitary waves in Bose–Einstein condensates containing thousands of identical Bosons. For it to occur, the underlying many-body Hamiltonian must not be integrable, and the pre-collision quantum state of the solitons needs to be fragmented. Under these conditions, we show that the post-collision state will be hyper-entangled in spatial degrees of freedom and atom number within solitons, for realistic parameters. The effect links aspects of non-linear systems and quantum-coherence and the entangled post-collision state challenges present entanglement criteria for identical particles. Our results are based on simulations of colliding quantum solitons in a quintic interaction model beyond the mean-field, using the truncated Wigner approximation.

arXiv:2202.06120•New Journal of Physics•Aug 1, 2023•3 citations

Progress towards quantum-enhanced interferometry with harmonically trapped quantum matter-wave bright solitons

Bettina Gertjerenken, Timothy P. Wiles, Christoph Weiß

We model the dynamics of attractively interacting ultracold bosonic atoms in a quasi-one-dimensional wave guide with additional harmonic trapping. Initially, we prepare the system in its ground state and then shift the zero of the harmonic trap and switch on an additional narrow scattering potential near the center of the trap. After colliding with the barrier twice, we propose to measure the number of atoms opposite the initial condition. Quantum-enhanced interferometry with quantum bright solitons allows us to predict detection of an offset of the scattering potential with considerably increased precision as compared to single-particle experiments. In a future experimental realization this might lead to measurement of weak forces caused, for example, by small horizontal gradients in the gravitational potential---with a resolution of several micrometers given essentially by the size of the solitons. Our numerical simulations are based on the rigorously proved effective potential approach developed in previous papers [Phys. Rev. Lett. 102, 010403 (2009) and Phys. Rev. Lett. 103, 210402 (2009)]. We choose our parameters such that the prerequisite of the proof (that the solitons cannot break apart, for energetic reasons) is always fulfilled, thus exploring a parameter regime inaccessible to the mean-field description via the Gross-Pitaevskii equation due to Schr\"odinger-cat states occurring in the many-particle quantum dynamics.

arXiv:1508.00656•Physical Review A•Nov 30, 2016•10 citations

Engineering Multiparticle Entanglement with Neutral Atoms in Optical Lattices

Immanuel Bloch

The controlled creation of entanglement is one of the most challenging goals of modern quantum physics. Here we show how spin dependent optical lattice potentials together with controlled collisions between atoms in an optical lattice potential can be used to realize massively parallel operating quantum gates. In a second experiment, the generation of Bell states of atom pairs on single lattice sites is demonstrated by employing a newly found interstate Feshbach resonance in 87Rb. This Feshbach resonance has allowed us to efficiently modify the scattering length between two atoms in different spin states and is used to induce an entanglement dynamics in the system.

AIP conference proceedings•Jan 1, 2005•0 citations

BRIGHT SOLITONS MANAGED BY FESHBACH RESONANCE IN BOSE–EINSTEIN CONDENSATES

Zhaoxin Liang, Zhang Zhi-dong, Weijian Liu

We review the recent experimental and theoretical advances in the generation of matter wave solitons in Bose–Einstein condensates. In particular, the controlled generation and dynamics of stable bright solitons by mean of Feshbach resonance techniques is discussed in details. Several aspects are taking into account, including the variation of the scattering length due to Feshbach resonance, the safe parameters against the collapse and the experimental implications of our scenario.

Modern Physics Letters A•Feb 20, 2006•12 citations
The generation of mesoscopic Bell states via collisions of distinguishable bright solitons has been suggested in Phys. Rev. Lett. 111 , 100406 (2013). Here, we extend our former proposal to two hyperfine states of 85 Rb instead of two different atomic species, thus simplifying possible experimental realisations. A calculation of the s-wave scattering lengths for the hyperfine states ( f , m f ) = (2, +2) and (3, +2) identifies parameter regimes suitable for the creation of Bell states with an advantageously broad Feshbach resonance. We show the generation of Bell states using the truncated Wigner method for the soliton's centre of mass and demonstrate the validity of this approach by a comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.
We investigate numerically the collisions of two distinguishable quantum matter-wave bright solitons in a one-dimensional harmonic trap. We show that such collisions can be used to generate mesoscopic Bell states that can reliably be distinguished from statistical mixtures. Calculation of the relevant s-wave scattering lengths predicts that such states could potentially be realized in quantum-degenerate mixtures of 85Rb and 133Cs. In addition to fully quantum simulations for two distinguishable two-particle solitons, we use a mean-field description supplemented by a stochastic treatment of quantum fluctuations in the soliton's center of mass: we demonstrate the validity of this approach by comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.
The scattering of bright quantum solitons at barrier potentials in one-dimensional geometries is investigated. Such protocols have been predicted to lead to the creation of nonlocal quantum superpositions. The centre-of-mass motion of these bright matter-wave solitons generated from attractive Bose-Einstein condensates can be analysed with the effective potential approach. An application to the case of two particles being scattered at a delta potential allows analytical calculations not possible for higher particle numbers as well as a comparison with numerical results. Both for the dimer and a soliton with particle numbers on the order of N = 100, we investigate the signatures of the coherent superposition states in an interferometric setup and argue that experimentally an interference pattern would be particularly well observable in the centre-of-mass density. Quantum superposition states of ultra-cold atoms are interesting as input states for matter-wave interferometry as they could improve signal-to-noise ratios.
Abstract We predict hyper-entanglement generation by binary scattering of mesoscopic bound states, considering solitary waves in Bose–Einstein condensates containing thousands of identical Bosons. For it to occur, the underlying many-body Hamiltonian must not be integrable, and the pre-collision quantum state of the solitons needs to be fragmented. Under these conditions, we show that the post-collision state will be hyper-entangled in spatial degrees of freedom and atom number within solitons, for realistic parameters. The effect links aspects of non-linear systems and quantum-coherence and the entangled post-collision state challenges present entanglement criteria for identical particles. Our results are based on simulations of colliding quantum solitons in a quintic interaction model beyond the mean-field, using the truncated Wigner approximation.
We model the dynamics of attractively interacting ultracold bosonic atoms in a quasi-one-dimensional wave guide with additional harmonic trapping. Initially, we prepare the system in its ground state and then shift the zero of the harmonic trap and switch on an additional narrow scattering potential near the center of the trap. After colliding with the barrier twice, we propose to measure the number of atoms opposite the initial condition. Quantum-enhanced interferometry with quantum bright solitons allows us to predict detection of an offset of the scattering potential with considerably increased precision as compared to single-particle experiments. In a future experimental realization this might lead to measurement of weak forces caused, for example, by small horizontal gradients in the gravitational potential---with a resolution of several micrometers given essentially by the size of the solitons. Our numerical simulations are based on the rigorously proved effective potential approach developed in previous papers [Phys. Rev. Lett. 102, 010403 (2009) and Phys. Rev. Lett. 103, 210402 (2009)]. We choose our parameters such that the prerequisite of the proof (that the solitons cannot break apart, for energetic reasons) is always fulfilled, thus exploring a parameter regime inaccessible to the mean-field description via the Gross-Pitaevskii equation due to Schr\"odinger-cat states occurring in the many-particle quantum dynamics.
The controlled creation of entanglement is one of the most challenging goals of modern quantum physics. Here we show how spin dependent optical lattice potentials together with controlled collisions between atoms in an optical lattice potential can be used to realize massively parallel operating quantum gates. In a second experiment, the generation of Bell states of atom pairs on single lattice sites is demonstrated by employing a newly found interstate Feshbach resonance in 87Rb. This Feshbach resonance has allowed us to efficiently modify the scattering length between two atoms in different spin states and is used to induce an entanglement dynamics in the system.