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- W2078962623 abstract "Using a time-dependent density matrix renormalization group (TDMRG) approach we study the collision of one-dimensional atomic clouds confined in a harmonic trap and evolving with the Lieb-Liniger Hamiltonian. It is observed that the motion is essentially periodic with the clouds bouncing elastically, at least on the time scale of the first few oscillations that can be resolved with high accuracy. This is in agreement with the results of the ``quantum Newton cradle'' experiment of Kinoshita et al. [Nature (London) 440, 900 (2006)]. We compare the results for the density profile against a hydrodynamic description, or generalized nonlinear Schrodinger equation, with the pressure term taken from the Bethe ansatz solution of the Lieb-Liniger model. We find that hydrodynamics can describe the breathing mode of a harmonically trapped cloud for arbitrary long times while it breaks down almost immediately for the collision of two clouds due to the formation of shock waves (gradient catastrophe). In the case of the clouds' collision TDMRG alone allows one to extract the oscillation period which is found to be measurably different from the breathing mode period. Concomitantly with the shock waves formation we observe a local energy distribution typical of population inversion, i.e., an effective negative temperature. Our results are an important step towards understanding the hydrodynamics of quantum many-body systems out of equilibrium and the role of integrability in their dynamics." @default.
- W2078962623 created "2016-06-24" @default.
- W2078962623 creator A5009712632 @default.
- W2078962623 creator A5076782439 @default.
- W2078962623 date "2014-01-24" @default.
- W2078962623 modified "2023-09-26" @default.
- W2078962623 title "Quantum shock waves and population inversion in collisions of ultracold atomic clouds" @default.
- W2078962623 cites W1542921455 @default.
- W2078962623 cites W1552164046 @default.
- W2078962623 cites W1575867504 @default.
- W2078962623 cites W1666710590 @default.
- W2078962623 cites W1725968696 @default.
- W2078962623 cites W1773087667 @default.
- W2078962623 cites W1963988846 @default.
- W2078962623 cites W1965255584 @default.
- W2078962623 cites W1966742966 @default.
- W2078962623 cites W1969767002 @default.
- W2078962623 cites W1971523400 @default.
- W2078962623 cites W1974623591 @default.
- W2078962623 cites W1977012752 @default.
- W2078962623 cites W1977200938 @default.
- W2078962623 cites W1978551874 @default.
- W2078962623 cites W1978686072 @default.
- W2078962623 cites W1979308046 @default.
- W2078962623 cites W1981541359 @default.
- W2078962623 cites W1989962178 @default.
- W2078962623 cites W1990595724 @default.
- W2078962623 cites W1996082548 @default.
- W2078962623 cites W1996778989 @default.
- W2078962623 cites W1998440595 @default.
- W2078962623 cites W1999405392 @default.
- W2078962623 cites W1999495963 @default.
- W2078962623 cites W2000917236 @default.
- W2078962623 cites W2004203093 @default.
- W2078962623 cites W2006332155 @default.
- W2078962623 cites W2007236229 @default.
- W2078962623 cites W2008656348 @default.
- W2078962623 cites W2012074274 @default.
- W2078962623 cites W2012211492 @default.
- W2078962623 cites W2012721178 @default.
- W2078962623 cites W2013529907 @default.
- W2078962623 cites W2014049935 @default.
- W2078962623 cites W2016293496 @default.
- W2078962623 cites W2019393117 @default.
- W2078962623 cites W2020159211 @default.
- W2078962623 cites W2020953818 @default.
- W2078962623 cites W2021712328 @default.
- W2078962623 cites W2023047216 @default.
- W2078962623 cites W2023272031 @default.
- W2078962623 cites W2023647025 @default.
- W2078962623 cites W2025610347 @default.
- W2078962623 cites W2026106782 @default.
- W2078962623 cites W2027792124 @default.
- W2078962623 cites W2030096869 @default.
- W2078962623 cites W2034012235 @default.
- W2078962623 cites W2038423279 @default.
- W2078962623 cites W2044516590 @default.
- W2078962623 cites W2045246188 @default.
- W2078962623 cites W2045649013 @default.
- W2078962623 cites W2057145631 @default.
- W2078962623 cites W2057563627 @default.
- W2078962623 cites W2058398316 @default.
- W2078962623 cites W2061309565 @default.
- W2078962623 cites W2062293169 @default.
- W2078962623 cites W2069586592 @default.
- W2078962623 cites W2077884341 @default.
- W2078962623 cites W2082848563 @default.
- W2078962623 cites W2084523871 @default.
- W2078962623 cites W2084960450 @default.
- W2078962623 cites W2092175131 @default.
- W2078962623 cites W2098684918 @default.
- W2078962623 cites W2100359709 @default.
- W2078962623 cites W2101936997 @default.
- W2078962623 cites W2113260424 @default.
- W2078962623 cites W2121644225 @default.
- W2078962623 cites W2159919541 @default.
- W2078962623 cites W2163000554 @default.
- W2078962623 cites W2163257413 @default.
- W2078962623 cites W2163964512 @default.
- W2078962623 cites W224387178 @default.
- W2078962623 cites W2987812804 @default.
- W2078962623 cites W3010075763 @default.
- W2078962623 cites W3103713775 @default.
- W2078962623 cites W3104920824 @default.
- W2078962623 cites W3106428970 @default.
- W2078962623 cites W3121359092 @default.
- W2078962623 cites W4253749359 @default.
- W2078962623 cites W2026849284 @default.
- W2078962623 doi "https://doi.org/10.1103/physreva.89.013621" @default.
- W2078962623 hasPublicationYear "2014" @default.
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