TY - JOUR

T1 - Quantum Fluctuations of the Center of Mass and Relative Parameters of Nonlinear Schrödinger Breathers

AU - Marchukov, Oleksandr V.

AU - Malomed, Boris A.

AU - Dunjko, Vanja

AU - Ruhl, Joanna

AU - Olshanii, Maxim

AU - Hulet, Randall G.

AU - Yurovsky, Vladimir A.

N1 - Publisher Copyright:
© 2020 American Physical Society.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/7/31

Y1 - 2020/7/31

N2 - We study quantum fluctuations of macroscopic parameters of a nonlinear Schrödinger breather-A nonlinear superposition of two solitons, which can be created by the application of a fourfold quench of the scattering length to the fundamental soliton in a self-attractive quasi-one-dimensional Bose gas. The fluctuations are analyzed in the framework of the Bogoliubov approach in the limit of a large number of atoms N, using two models of the vacuum state: White noise and correlated noise. The latter model, closer to the ab initio setting by construction, leads to a reasonable agreement, within 20% accuracy, with fluctuations of the relative velocity of constituent solitons obtained from the exact Bethe-ansatz results [Phys. Rev. Lett. 119, 220401 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.220401] in the opposite low-N limit (for N≤23). We thus confirm, for macroscopic N, the breather dissociation time to be within the limits of current cold-atom experiments. Fluctuations of soliton masses, phases, and positions are also evaluated and may have experimental implications.

AB - We study quantum fluctuations of macroscopic parameters of a nonlinear Schrödinger breather-A nonlinear superposition of two solitons, which can be created by the application of a fourfold quench of the scattering length to the fundamental soliton in a self-attractive quasi-one-dimensional Bose gas. The fluctuations are analyzed in the framework of the Bogoliubov approach in the limit of a large number of atoms N, using two models of the vacuum state: White noise and correlated noise. The latter model, closer to the ab initio setting by construction, leads to a reasonable agreement, within 20% accuracy, with fluctuations of the relative velocity of constituent solitons obtained from the exact Bethe-ansatz results [Phys. Rev. Lett. 119, 220401 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.220401] in the opposite low-N limit (for N≤23). We thus confirm, for macroscopic N, the breather dissociation time to be within the limits of current cold-atom experiments. Fluctuations of soliton masses, phases, and positions are also evaluated and may have experimental implications.

UR - http://www.scopus.com/inward/record.url?scp=85089539494&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.125.050405

DO - 10.1103/PhysRevLett.125.050405

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C2 - 32794875

AN - SCOPUS:85089539494

SN - 0031-9007

VL - 125

JO - Physical Review Letters

JF - Physical Review Letters

IS - 5

M1 - 050405

ER -