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Quantum flutter versus Bloch oscillations in one-dimensional quantum liquids out of equilibrium | | Michael Knap
; Charles J. M. Mathy
; Mikhail B. Zvonarev
; Eugene Demler
; | | Date: |
14 Mar 2013 | | Abstract: | We study the dynamics of an impurity of finite mass injected into a
one-dimensional quantum liquid at zero temperature, either at finite velocity
or at zero velocity with a force driving the impurity. We obtain accurate
results using numerical simulations based on matrix product states, and find
that in both cases, the impurity undergoes oscillations, however the physical
mechanism is different: the driven impurity undergoes Bloch oscillations by
following the ground state branch while continuously emitting phonons, whereas
the undriven impurity undergoes coherent quantum oscillations at an emergent
energy scale, called quantum flutter in previous work, whose amplitude grows
with increasing initial velocity. We find these results to be independent of
whether the system is integrable or not, and robust to changes in the
microscopics of the model, suggesting that they are universal. | | Source: | arXiv, 1303.3583 | | Services: | Forum | Review | PDF | Favorites | |
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