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Abstract
We explore the statistical behaviour of the discrete nonlinear Schrödinger equation as a test bed for the observation of negative-temperature (i.e. above infinite temperature) states in Bose–Einstein condensates in optical lattices and arrays of optical waveguides. By monitoring the microcanonical temperature, we show that there exists a parameter region where the system evolves towards a state characterized by a finite density of discrete breathers and a negative temperature. Such a state persists over very long (astronomical) times since the convergence to equilibrium becomes increasingly slower as a consequence of a coarsening process. We also discuss two possible mechanisms for the generation of negative-temperature states in experimental setups, namely, the introduction of boundary dissipations and the free expansion of wavepackets initially in equilibrium at a positive temperature.
Original language | English |
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Article number | 023032 |
Number of pages | 13 |
Journal | New Journal of Physics |
Volume | 15 |
Issue number | 2 |
DOIs | |
Publication status | Published - 19 Feb 2013 |
Keywords
- discrete breathers
- optical waveguides
- BEC
- negative temperatures
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Dive into the research topics of 'Discrete breathers and negative-temperature states'. Together they form a unique fingerprint.Projects
- 1 Finished
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Super-resolution optical microscopy via nonlinear self-focusing
McConnell, G. (Principal Investigator) & Oppo, G.-L. (Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/01/11 → 28/02/15
Project: Research
Datasets
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Discrete breathers and negative-temperature states (video abstract)
Iubini, S. (Creator), Livi, R. (Creator), Politi, A. (Creator) & Oppo, G.-L. (Creator), TIB AV-Portal/TIB Hannover, 22 Dec 2022
DOI: 10.5446/39010, https://av.tib.eu/media/39010
Dataset