Ayumu Sugita 2003 J. Phys. A: Math. Gen. 36 9081 doi:10.1088/0305-4470/36/34/310
Moments of generalized Husimi distributions and complexity of many-body quantum states
Ayumu Sugita1
Show affiliationsWe consider generalized Husimi distributions for many-body systems, and show that their moments are good measures of complexity of many-body quantum states. Our construction of the Husimi distribution is based on the coherent state of the single-particle transformation group. Then the coherent states are independent-particle states, and, at the same time, the most localized states in the Husimi representation. Therefore delocalization of the Husimi distribution, which can be measured by the moments, is a sign of many-body correlation (entanglement). Since the delocalization of the Husimi distribution is also related to chaoticity of the dynamics, it suggests a relation between entanglement and chaos. Our definition of the Husimi distribution can be applied not only to systems of distinguishable particles, but also to those of identical particles, i.e., fermions and bosons. We derive an algebraic formula to evaluate the moments of the Husimi distribution.
- PACS
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05.45.Mt Quantum chaos; semiclassical methods
03.67.Mn Entanglement measures, witnesses, and other characterizations
- MSC
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81Q50 Quantum chaos (See also 37Dxx)
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
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Issue 34 (29 August 2003)
Received 14 April 2003, in final form 16 June 2003
Published 12 August 2003
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Moments of generalized Husimi distributions and complexity of many-body quantum states
Ayumu Sugita 2003 J. Phys. A: Math. Gen. 36 9081
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