Tunable self-assembled spin chains of strongly interacting cold atoms for demonstration of reliable quantum state transfer

Loft, N. J. S.; Marchukov, Oleksandr V.; Petrosyan, David; Zinner, N. T.

doi:10.1088/1367-2630/18/4/045011

Cited by 26 publications

(26 citation statements)

References 54 publications

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“…Results for the J i have been presented for N ≤ 15 [35,48] and N ≤ 30 [49] particles in a harmonic trap. Recently, Loft et al published an efficient formula and released an open source code [50] for the numerical computation of the J i for N 35 particles in arbitrary confining potentials [51]. We show in Sec.…”

Section: Spin-chain Hamiltonianmentioning

confidence: 96%

Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases

2016

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One-dimensional spinor gases with strong δ interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom are described by a spin-chain model with nearest-neighbor interactions. Here, we compute momentum and occupation-number distributions of up to 16 strongly interacting spinor fermions and bosons as a function of their spin imbalance, the strength of an externally applied magnetic field gradient, the length of their spin, and for different excited states of the multiplet. We show that the ground-state momentum distributions resemble those of the corresponding noninteracting systems, apart from flat background distributions, which extend to high momenta. Moreover, we show that the spin order of the spin chain-in particular antiferromagnetic spin order-may be deduced from the momentum and occupation-number distributions of the system. Finally, we present efficient numerical methods for the calculation of the single-particle densities and one-body density matrix elements and of the local exchange coefficients of the spin chain for large systems containing more than 20 strongly interacting particles in arbitrary confining potentials.

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Section: Spin-chain Hamiltonianmentioning

confidence: 96%

Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases

2016

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“…A thorough study of spin state transfer in traps of different shapes has been done by Volosniev et al in [24]. It has been shown [66][67][68] that transfer is optimized by considering κ=2 (which turns equation (2) into an XX Hamiltonian) with a set of exchange coefficients where a µ -…”

Section: Dynamicsmentioning

confidence: 99%

Emergence of junction dynamics in a strongly interacting Bose mixture

2018

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We study the dynamics of a one-dimensional system composed of a bosonic background and one impurity in single-and double-well trapping geometries. In the limit of strong interactions, this system can be modeled by a spin chain where the exchange coefficients are determined by the geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the background is dominant. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. Furthermore, the double-well geometry allows for an enhancement in the tunneling as compared to the single-well case.

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“…When constrained to one dimension, the effect of correlations is even higher, leading to counter-intuitive behavior such as spin-charge separation and the so-called fermionization [2]. Although the study of such strongly correlated systems is a notoriously complex task, recent experimental realizations of one-dimensional (1D) systems involving ultracold atomic fermions with κ 2 spin degrees of freedom offer exciting opportunities, both in terms of our fundamental understanding of 1D quantum magnetism and in the prospect of quantum technological applications [3][4][5][6][7][8]. Indeed, in the limit of strong repulsion, it has been shown that these systems are equivalent to spin chains whose interaction parameters are experimentally tunable with the external potential [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Graph-theory treatment of one-dimensional strongly repulsive fermions

Decamp

Gong

Loh

et al. 2020

Phys. Rev. Research

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One-dimensional atomic mixtures of fermions can effectively realize spin chains and thus constitute a clean and controllable platform to study quantum magnetism. Such strongly correlated quantum systems are also of sustained interest to quantum simulation and quantum computation due to their computational complexity. In this article, we exploit spectral graph theory to completely characterize the symmetry properties of one-dimensional fermionic mixtures in the strong interaction limit. We also develop a powerful method to obtain the so-called Tan contacts associated with certain symmetry classes. In particular, compared to brute-force diagonalization that is already virtually impossible for a moderate number of fermions, our analysis enables us to make unprecedented efficient predictions about the energy gap of complex spin mixtures. Our theoretical results are not only of direct experimental interest but also provide important guidance for the design of adiabatic control protocols in strongly correlated fermion mixtures.

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Tunable self-assembled spin chains of strongly interacting cold atoms for demonstration of reliable quantum state transfer

Cited by 26 publications

References 54 publications

Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases

Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases

Emergence of junction dynamics in a strongly interacting Bose mixture

Graph-theory treatment of one-dimensional strongly repulsive fermions

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