Realizing a 1D topological gauge theory in an optically dressed BEC

Frölian, A.; Chisholm, C. S.; Neri, Elettra; Cabrera, Cesar R.; Ramos, Ramón; Celi, Alessio; Tarruell, Leticia

doi:10.1038/s41586-022-04943-3

Cited by 37 publications

(27 citation statements)

References 57 publications

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“…It is certainly tempting to speculate whether the gauge potential studied in this work could be realised experimentally. Density dependent gauge potentials for a Bose-Einstein condensate in the mean field limit has been studied [2,3] and also experimentally realised [4], although these works were based on a short range interaction between the atoms. An optical realisation of the twobody problem together with a long-range gauge potential is not inconceivable.…”

Section: Discussionmentioning

confidence: 99%

“…Secondly, a gauge potential which depends on the position of the other particle allows us to draw parallels with density dependent gauge potentials in the many particle mean field limit [2] which are encountered in Chern Simons theory in the context of flux attachment [3]. This is further emphasised by the recent experimental realisation and emulation of a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate [4] together with a comprehensive theoretical investigation of the mappings required to connect the experimental platform with the chiral BF theory [5].…”

Section: Introductionmentioning

confidence: 99%

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The gauge coupled two-body problem in a ring

Priestley,

Valentí-Rojas,

Wright

et al. 2022

Preprint

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We study the properties of two quantum particles which are confined in a ring. The particles interact via a long-range gauge potential proportional to the distance between the particles. It is found that the two-body ground state corresponds to a state with non-zero angular momentum provided that the interaction between the particles is strong enough. In addition, the particles are correlated in the sense that depending on the interaction strength there is a propensity to be found close together or maximally distanced in the ring. We discuss the effect of measuring the position of one of the particles and thereby removing the particle from the ring, where we show that the remaining particle can be prepared in a non-dispersive state with non-zero angular momentum.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The gauge coupled two-body problem in a ring

Priestley,

Valentí-Rojas,

Wright

et al. 2022

Preprint

View full text Add to dashboard Cite

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“…The S2 phase can greatly minimize the spin-exchange-interaction energy, which can be easily seen from the approximate wave function for a low Ω in Eq. (13). With the wave function, the spin-exchange-interaction energy becomes…”

Section: A Antiferromagnetic Interactionsmentioning

confidence: 99%

“…Synthetic spin-orbit coupling, utilizing atomic hyperfine levels as pseudo-spins, can be realized by coupling these states via Raman lasers [5][6][7]. Spin-orbit-coupled Bose-Einstein condensates (BECs) open a new route in exploring exotic superfluid states and simulating topological matters [8][9][10][11][12][13]. One of interesting features is that the spin-orbit coupling modifies dispersion relation of a BEC.…”

Section: Introductionmentioning

confidence: 99%

Quantum phases in spin-orbit-coupled Floquet spinor Bose gases

Zhang¹,

Chen²,

Liu³

et al. 2023

Preprint

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We propose a spin-orbit-coupled Floquet spinor Bose-Einstein condensate (BEC) which can be implemented by a Floquet engineering of quadratic Zeeman field. The Floquet spinor BEC has a Bessel-function-modulated Rabi frequency and a Floquet-induced spin-exchange interaction. Quantum phase diagram of a spin-orbit-coupled Floquet spinor BEC is investigated by considering antiferromagnetic or ferromagnetic spin-spin interactions. In comparison with a usual spin-orbit-coupled spin-1 BEC, we find that a stripe phase for antiferromagnetic interactions can exist in a large quadratic Zeeman field regime, and a new stripe phase with an experimentally favorable contrast for ferromagnetic interactions is uncovered.

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“…More recently, large-scale quantum simulations of Abelian LGTs have been reported in Rydberg atom arrays (Schwinger model [20,21], as well as a (2+1)-d Ising-Higgs gauge theory [22]) and with ultracold bosonic atoms in tilted optical superlattices [23][24][25]. In the continuum, quantum simulation of a topological gauge theory was realized in an optically-dressed Bose-Einstein condensate by realising a one-dimensional reduction of the Chern-Simons theory, the so-called chiral BF theory [26].…”

Section: Introductionmentioning

confidence: 99%

$Ab\,initio$ derivation of lattice gauge theory dynamics for cold gases in optical lattices

Surace¹,

Fromholz²,

Oppong³

et al. 2023

Preprint

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We introduce a method for quantum simulation of U(1) lattice gauge theories coupled to matter, utilizing alkaline-earth(-like) atoms in state-dependent optical lattices. The proposal enables the study of both gauge and fermionic-matter fields without integrating out one of them in one and two dimensions. We focus on a realistic and robust implementation that utilizes the long-lived metastable clock state available in alkaline-earth(-like) atomic species. Starting from an ab initio modelling of the experimental setting, we systematically carry out a derivation of the target U(1) gauge theory. This approach allows us to identify and address conceptual and practical challenges for the implementation of lattice gauge theories that -while pivotal for a successful implementation -have never been rigorously addressed in the literature: those include the specific engineering of lattice potentials to achieve the desired structure of Wannier functions, and the subtleties involved in realizing the proper separation of energy scales to enable gauge-invariant dynamics. We discuss realistic experiments that can be carried out within such a platform using the fermionic isotope 173 Yb, addressing via simulations all key sources of imperfections, and provide concrete parameter estimates for relevant energy scales in both one-and two-dimensional settings.

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Realizing a 1D topological gauge theory in an optically dressed BEC

Cited by 37 publications

References 57 publications

The gauge coupled two-body problem in a ring

The gauge coupled two-body problem in a ring

Quantum phases in spin-orbit-coupled Floquet spinor Bose gases

$Ab\,initio$ derivation of lattice gauge theory dynamics for cold gases in optical lattices

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