Understand
We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm.
- It is shown that despite the integrability of the system, local quantities such as the two-particle correlation $g^{(2)}(x,x)$ attain steady state values in a short characteristic time inversely proportional to the Tonks parameter $\gamma$ and the square of the density.
- The asymptotic values are very close to those of a finite temperature grand canonical ensemble with a local temperature corresponding to initial energy and density.
- Non-local density-density correlations on the other hand approach a steady state on a much larger time scale determined by the finite propagation velocity of oscillatory correlation waves.
Built on
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J. M. Luttinger · 1963
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C. N. Yang and C. P. Yang · 1969
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G. Vidal · 2004
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