Dissipative Solitons that Cannot be Trapped

Pardo, Rosa; Pérez-Garcı́a, Vı́ctor M.

doi:10.1103/physrevlett.97.254101

Cited by 10 publications

(3 citation statements)

References 43 publications

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“…In view of the striking experimental advances on the single-site addressability in the optical lattices where the loss can be made truly localized in selected sites [6,7], ultracold atoms in optical lattices with localized dissipation provide a distinguished model system for the study of fully governable open quantum systems [8]. These systems with the dissipation process have been investigated from a nonlinear dynamics viewpoint based on a mean-field approximation [9][10][11][12], where the loss is introduced as negative imaginary chemical potential, giving origin to stable dissipative structures and diverse nonlinear excitations such as dynamical breathers and dissipative solitons. At the same time, the dissipative dynamics of interacting system have also been studied in terms of the master equations beyond mean-field treatment [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Coherent control of dissipative dynamics in a periodically driven lattice array

Zeng,

Li,

Yang

et al. 2020

Preprint

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We find a different mechanism for suppression of decay in an open one-dimensional lattice system, which originates from a dark Floquet state, a sink state to which the system is asymptotically driven, whose overall probability is determined only by the parameters of the periodic driving field. The zero-quasienergy of dark Floquet state has been shown to be not a real zero, but a vanishingly small negative imaginary number which will cause undesirable physical effect in long-time evolution of quantum states, which is extremely different from the conservative counterpart. Another important finding is that the value of the system's effective decay, determined by the size of the non-zero imaginary part of the dark-Floquet-state-related quasienergy, depends not on how many localized lossy sites there are but on which one of the lossy sites is nearest to the driven site. Thus, for specially designed local dissipation, by controlling the driving parameters, it is possible for us to drive the system to a dark Floquet state with a much lower level of overall probability loss as compared to the undriven case and with good stability over enough longer evolution time. These results are applicable to the multisite lattice system with an odd number of sites and may be significant for long-time control of decay in a vast family of multistate physical systems with localized dissipation.

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Section: Introductionmentioning

confidence: 99%

Coherent control of dissipative dynamics in a periodically driven lattice array

Zeng,

Li,

Yang

et al. 2020

Preprint

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“…A number of theoretical studies have been carried out considering quintic interactions in both three-and quasi-one dimensions [29][30][31][32][33][34]. Localized sech and power-lawtype solutions have been obtained [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Complex solitons in Bose–Einstein condensates with two- and three-body interactions

Roy

Atre

Sudheesh

et al. 2010

J. Phys. B: At. Mol. Opt. Phys.

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For the first time, we find the complex solitons for a quasi-one-dimensional Bose–Einstein condensate with two- and three-body interactions. These localized solutions are characterized by a power law behaviour. Both dark and bright solitons can be excited in the experimentally allowed parameter domain, when two- and three-body interactions are, respectively, repulsive and attractive. The dark solitons travel with a constant speed, which is quite different from the Lieb mode, where profiles with different speeds, bounded above by sound velocity, can exist for specified interaction strengths. We also study the properties of these solitons in the presence of harmonic confinement with time-dependent nonlinearity and loss. The modulational instability and the Vakhitov–Kolokolov criterion of stability are also studied.

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“…Hence, we do not consider the three-body recombination here, when the corresponding coupling constant is imaginary. A number of theoretical studies have been carried out considering three body interaction in both three-and quasi-one-dimensions [17,18,19,20,21,22]. Localized soliton solutions of both elliptic function and power-law type have also been investigated [23,24,25].…”

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confidence: 99%

Complex solitons with power law behaviour in Bose-Einstein condensates near Feshbach resonance

Roy,

Atre,

Sudheesh

et al. 2007

Preprint

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Complex, localized stable solitons, characterized by a power law behaviour, are found for a quasione-dimensional Bose-Einstein condensate near Feshbach resonance. Both dark and bright solitons can be excited in the experimentally allowed parameter domain, when two and three-body interactions are respectively repulsive and attractive. These solutions are obtained for non-zero chemical potential, unlike their unstable real counterparts which exist in the limit of vanishing µ. The dark solitons travel with constant speed, which is quite different from the Lieb mode, where profiles with different speeds, bounded above by sound velocity can exist for specified interaction strengths.

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Dissipative Solitons that Cannot be Trapped

Cited by 10 publications

References 43 publications

Coherent control of dissipative dynamics in a periodically driven lattice array

Coherent control of dissipative dynamics in a periodically driven lattice array

Complex solitons in Bose–Einstein condensates with two- and three-body interactions

Complex solitons with power law behaviour in Bose-Einstein condensates near Feshbach resonance

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