Quantum bright solitons in a quasi-one-dimensional optical lattice

Barbiero, Luca; Salasnich, Luca

doi:10.1103/physreva.89.063605

Cited by 15 publications

(27 citation statements)

References 41 publications

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“…Among different aspects implied by the lattice, here we exploit the energy-band structure of the system, featuring characteristic bendings, foldings and energy gaps. Such effects can indeed define new physical regimes in our system with peculiar bound states of solitonic type (see [34][35][36]).…”

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confidence: 94%

Rise and Fall of a Bright Soliton in an Optical Lattice

et al. 2019

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We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to N -particle bound states, and a continuum band of other, mostly extended, states. For a system of a finite size, the two branches are degenerate in energy for weak interactions, while a gap opens above a threshold value of the interaction strength. We find that the interplay between degenerate extended and bound states has important consequences for both static and dynamical properties of the system. In particular, the solitonic states turn out to be protected from spatial perturbations and random disorder. We discuss how such dynamics implies that our system effectively provides an example of a quantum many-body system that, with the variation of the bosonic lattice filling, crosses over from integrable non-ergodic to non-integrable ergodic dynamics, through non-integrable non-ergodic regimes.arXiv:1804.10133v3 [cond-mat.quant-gas]

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confidence: 94%

Rise and Fall of a Bright Soliton in an Optical Lattice

et al. 2019

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“…In terms of quantum field operators we haveφ j (x, t)|GCS = φ j (x, t)|GCS where φ j (x, t) is a classical field, and the average number of atoms in the coherent state is given as N j = GCS|N j |GCS . Hence, when the many-body quantum state |S is considered as a Glauber coherent state |GCS [31,32,33], the 1D NPHE (4) becomes 1D NPSE [27,30] i ∂ ∂t…”

Section: D Reduction Of the 3d Hamiltonianmentioning

confidence: 99%

Harmonically trapped attractive and repulsive spin–orbit and Rabi coupled Bose–Einstein condensates

Chiquillo¹

2017

J. Phys. A: Math. Theor.

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Abstract.Numerically we investigate the ground state of effective one-dimensional spin-orbit (SO) and Rabi coupled two pseudo-spinor Bose-Einstein condensates (BECs) under the effect of harmonic traps. For both signs of the interaction, density profiles of SO and Rabi coupled BECs in harmonic potentials, which simulate a real experimental situation are obtained. The harmonic trap causes a strong reduction of the multi-peak nature of the condensate and it increases its density. For repulsive interactions, the increase of SO coupling results in an uncompressed less dense condensate and with increased multi-peak nature of the density. The increase of Rabi coupling leads to a density increase with an almost constant number of multi-peaks. For both signs of the interaction and negative values of Rabi coupling, the condensate develops a notch in the central point and it seems to a dark-in-bright soliton. In the case of the attractive nonlinearity, an interesting result is the increase of the collapse threshold under the action of the SO and Rabi couplings.

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Section: D-nonpolynomial Heisenberg Equationmentioning

confidence: 99%

Matter-waves in Bose–Einstein condensates with spin-orbit and Rabi couplings

Chiquillo¹

2015

J. Phys. A: Math. Theor.

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Abstract. We investigate the one-dimensional (1D) and two-dimensional (2D) reduction of a quantum field theory starting from the three-dimensional (3D) manybody Hamiltonian of interacting bosons with spin-orbit (SO) and Rabi couplings. We obtain the effective time-dependent 1D and 2D nonpolynomial Heisenberg equations for both repulsive and attractive signs of the inter-atomic interaction. Our findings show that in case in which the many-body state coincides with the Glauber coherent state, the 1D and 2D Heisenberg equations become 1D and 2D nonpolynomial Schrödinger equations (NPSEs). These models were derived in a mean-field approximation from 3D Gross-Pitaevskii equation (GPE), describing a Bose-Einstein condensate (BEC) with SO and Rabi couplings. In the present work self-repulsive and self-attractive localized solutions of the 1D NPSE and the 1D GPE are obtained in a numerical form. The combined action of SO and Rabi couplings produces conspicuous sidelobes on the density profile, for both signs of the interaction. In the case of the attractive nonlinearity, an essential result is the possibility of getting an unstable condensate by increasing of SO coupling.

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Quantum bright solitons in a quasi-one-dimensional optical lattice

Cited by 15 publications

References 41 publications

Rise and Fall of a Bright Soliton in an Optical Lattice

Rise and Fall of a Bright Soliton in an Optical Lattice

Harmonically trapped attractive and repulsive spin–orbit and Rabi coupled Bose–Einstein condensates

Matter-waves in Bose–Einstein condensates with spin-orbit and Rabi couplings

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