Experimental characterization of two-particle entanglement through position and momentum correlations

Bergschneider, Andrea; Klinkhamer, Vincent M.; Becher, Jan Hendrik; Klemt, Ralf; Palm, Lukas; Zürn, Gerhard; Jochim, Selim; Preiss, Philipp M.

doi:10.1038/s41567-019-0508-6

Cited by 92 publications

(81 citation statements)

References 30 publications

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“…In addition to the controllable number of atoms, another ingredient required for the realization of our model is the ability to change the trapping potential, creating double, triple or generally multiwell potentials. The same group that realized few trapped fermions in [100] was also able to trap few fermions in one dimensional double-well [7,78] and multi-well systems [6].…”

Section: Experimental Realizationmentioning

confidence: 96%

Probing the edge between integrability and quantum chaos in interacting few-atom systems

Fogarty

García-March

Santos

et al. 2021

Quantum

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Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

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Section: Experimental Realizationmentioning

confidence: 96%

Probing the edge between integrability and quantum chaos in interacting few-atom systems

Fogarty

García-March

Santos

et al. 2021

Quantum

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“…Knowledge of high-order correlations of a quantum many-body system has been long recognized to fully characterize the system under study [1,[8][9][10][11]. Most recently progress has been demonstrated [12][13][14][15] in the development of matter-wave interferometry through the use of second-order momentum correlations, measureable in time-of-flight (TOF) laboratory experiments [16][17][18][19], yielding exact closed-form results based on firstprinciples (configuration interaction [12,13]) and model Hamiltonian (Hubbard [14,15]) methods.…”

Section: Introductionmentioning

confidence: 99%

Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions

Yannouleas

Landman

2019

Phys. Rev. A

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Analytic higher-order momentum correlation functions associated with the time-of-flight spectroscopy of three ultracold fermionic atoms singly-confined in a linear three-well optical trap are presented, corresponding to the W -and Greenberger-Horne-Zeilinger-type (GHZ) states that belong to characteristic classes of tripartite entanglement and represent the strong-interaction regime captured by a three-site Heisenberg Hamiltonian. The methodology introduced here contrasts with and goes beyond that based on the standard Wick's factorization scheme; it enables determination of both third-order and second-order spin-resolved and spin-unresolved momentum correlations, aiming at matter-wave interference investigations with trapped massive particles in analogy with, and having the potential for expanding the scope of, recent three-photon quantum-optics interferometry. * Constantine.Yannouleas@physics.gatech.edu † Uzi.Landman@physics.gatech.edu arXiv:1902.09439v2 [cond-mat.quant-gas]

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“…Finally, with the recent progress in preparing few-particle systems experimentally with high fidelities [44,45] and new methods to measure their momentum distribution [46], we believe that the observation of our predictions is experimentally realistic.…”

Section: Resultsmentioning

confidence: 64%

Spin–orbit coupling in the presence of strong atomic correlations

et al. 2020

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We explore the influence of contact interactions on a synthetically spin-orbit coupled system of two ultracold trapped atoms. Even though the system we consider is bosonic, we show that a regime exists in which the competition between the contact and spin-orbit interactions results in the emergence of a ground state that contains a significant contribution from the anti-symmetric spin state. This ground state is unique to few-particle systems and does not exist in the mean-field regime. The transition to this state is signalled by an inversion in the average momentum from being dominated by centre-ofmass momentum to relative momentum and also affects the global entanglement shared between the real-and pseudo-spin spaces. Indeed, competition between the interactions can also result in avoided crossings in the ground state which further enhances these correlations. However, we find that correlations shared between the pseudo-spin states are strongly depressed due to the spin-orbit coupling and therefore the system does not contain spin-spin entanglement.

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Experimental characterization of two-particle entanglement through position and momentum correlations

Cited by 92 publications

References 30 publications

Probing the edge between integrability and quantum chaos in interacting few-atom systems

Probing the edge between integrability and quantum chaos in interacting few-atom systems

Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions

Spin–orbit coupling in the presence of strong atomic correlations

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