Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons

Fischer, Uwe R.; Lee, Kang-Soo; Xiong, Bo

doi:10.1103/physreva.84.011604

Cited by 14 publications

(9 citation statements)

References 23 publications

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“…The experiments indicated that the initial conditions for these nonlinear excitations can be made nearly precisely by density and phase modulation techniques. The pair-transition (PT) term corresponds to pair particle transition in a two-component Bose-Einstein condensate [20,21] or four-wave-mixing effect in a nonlinear planar waveguide [27,28]. The nonlinear localized waves obtained here are all superposed by the well-known nonlinear excitations which have been realized in real experiments.…”

Section: Possibilities To Observe These Nonlinear Excitationsmentioning

confidence: 73%

Integrable pair-transition-coupled nonlinear Schrödinger equations

Ling

Zhao

2015

Phys. Rev. E

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We study integrable coupled nonlinear Schrödinger equations with pair particle transition between components. Based on exact solutions of the coupled model with attractive or repulsive interaction, we predict that some new dynamics of nonlinear excitations can exist, such as the striking transition dynamics of breathers, new excitation patterns for rogue waves, topological kink excitations, and other new stable excitation structures. In particular, we find that nonlinear wave solutions of this coupled system can be written as a linear superposition of solutions for the simplest scalar nonlinear Schrödinger equation. Possibilities to observe them are discussed in a cigar-shaped Bose-Einstein condensate with two hyperfine states. The results would enrich our knowledge on nonlinear excitations in many coupled nonlinear systems with transition coupling effects, such as multimode nonlinear fibers, coupled waveguides, and a multicomponent Bose-Einstein condensate system.

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Section: Possibilities To Observe These Nonlinear Excitationsmentioning

confidence: 73%

Integrable pair-transition-coupled nonlinear Schrödinger equations

Ling

Zhao

2015

Phys. Rev. E

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“…g i,i and g 3−i,i (i = 1, 2) are the intra and external interactions between atoms. J 1 and J 2 denote single particle and pair particles transition coupling strength separately [23,24]. In most studies, J 1,2 are set to be zero usually because it was believed that the presence of tunneling makes the systems become non-integrable [9,10,12,14].…”

Section: The Coupled Nonlinear Schr öDinger Equations With Particles'...mentioning

confidence: 99%

“…There are usually two transition paths for atoms: single particle and pair particles transition [23,24]. For weak contact interaction strength cases, single particle transition play dominant role for particle transition and pair particles transition can be ignored.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of rogue wave excitation pattern on stripe phase backgrounds in a two-component Bose-Einstein condensate

Zhao

Ling

et al. 2017

Communications in Nonlinear Science and Numerical Simulation

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We study rogue wave excitation pattern in a two-component Bose-Einstein condensate with pairtransition effects. The results indicate that rogue wave excitation can exist on a stripe phase background for which there are cosine and sine wave background in the two components respectively. The rogue wave peak can be much lower than the ones of scalar matter wave rogue waves, and varies with the wave period changing. Both rogue wave pattern and rogue wave number on temporal-spatial plane are much more abundant than the ones reported before. Furthermore, we prove that the rogue wave number can be n(n + 1)/2 + m(m + 1)/2 (where m, n are arbitrary non-negative integers), in contrast to n(n + 1)/2 for scalar nonlinear Schrödinger equation described systems. These results would enrich our knowledge on nonlinear excitations in multi-component Bose-Einstein condensate with transition coupling effects.

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“…Due to the coupling structure of the Hamiltonian, this matrix is very sparse and the total number of nonzero entries grows only quadratically with the particle number O(N 2 ). We remark that the even-odd degeneracy allows for the free choice of a phase parameter θ in the superposition of the degenerate eigenstates [18], which depends on the preparation of the state; θ ≡ 0 in what follows.…”

Section: -3mentioning

confidence: 99%

“…Here we assume that the two degenerate many-body states of the two-mode problem [9] have equal weight in the ground state and θ is their relative phase [18].…”

Section: Degree Of Fragmentationmentioning

confidence: 99%

Stability of spherically trapped three-dimensional Bose-Einstein condensates against macroscopic fragmentation

Bader

Fischer

2013

Phys. Rev. A

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We consider spherically trapped Bose gases in three dimensions with contact interactions and investigate whether the Bose-Einstein condensate at zero temperature is stable against macroscopic fragmentation into a small number of mutually incoherent pieces. Our results are expressed in terms of a dimensionless interaction measure proportional to the Thomas-Fermi parameter. It is shown that while three-dimensional condensates are inherently much more stable against macroscopic fragmentation than their quasi-one-and quasi-two-dimensional counterparts, they fragment at a sufficiently large value of the dimensionless interaction measure, which we determine both fully numerically and semianalytically from a continuum limit of large particle numbers.

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Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons

Cited by 14 publications

References 23 publications

Integrable pair-transition-coupled nonlinear Schrödinger equations

Integrable pair-transition-coupled nonlinear Schrödinger equations

Dynamics of rogue wave excitation pattern on stripe phase backgrounds in a two-component Bose-Einstein condensate

Stability of spherically trapped three-dimensional Bose-Einstein condensates against macroscopic fragmentation

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