Adiabatic nonlinear probes of one-dimensional bose gases
We discuss two complimentary 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 ramp...
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| Veröffentlicht in: | Physical review letters 2008-12, Vol.101 (23), p.230402-230402, Article 230402 |
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| container_title | Physical review letters |
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| creator | De Grandi, C Barankov, R A Polkovnikov, A |
| description | We discuss two complimentary 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. |
| doi_str_mv | 10.1103/PhysRevLett.101.230402 |
| format | Article |
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| source | American Physical Society Journals |
| subjects | BOSE-EINSTEIN GAS BOSONS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS EXCITATION INTERACTING BOSON MODEL MAPPING NONLINEAR PROBLEMS ONE-DIMENSIONAL CALCULATIONS PERTURBATION THEORY SINE-GORDON EQUATION |
| title | Adiabatic nonlinear probes of one-dimensional bose gases |
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