Adiabatic nonlinear probes of one-dimensional Bose gases

Abstract

We discuss two complementary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon model. This mapping allows us to find power-law scalings for the number of excitations with the ramping rate in the regime where the conventional linear response approach fails. We show that the exponent of this power law is sensitive to the interaction strength. In particular, the response is larger, or less adiabatic, for strongly (weakly) interacting bosons for the loading (merging) problem. Our results illustrate that in general the nonlinear response to slow relevant perturbations can be a powerful tool for characterizing properties of interacting systems.

4 pages, 3 figures, final version

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Cited by in corpus (13)

• Quantum quench dynamics of the Luttinger model
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Defect production due to quenching through a multicritical point
• Quench dynamics and parity blocking in Majorana wires
• Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Exact results on the quench dynamics of the entanglement entropy in the toric code
• Minimizing nonadiabaticities in optical-lattice loading
• Possibility of adiabatic transport of a Majorana edge state through an extended gapless region
• Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy