Urbina, Juan-Diego and Richter, Klaus (2013) Random quantum states: recent developments and applications. ADVANCES IN PHYSICS, 62 (4-6). pp. 363-452. ISSN 0001-8732, 1460-6976
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We review the methods and use of random quantum states with particular emphasis on recent theoretical developments and applications in various fields. The guiding principle of the review is the idea that random quantum states can be understood as classical probability distributions in the Hilbert space of the associated quantum system. We show how this central concept connects questions of physical interest that cover different fields such as quantum statistical physics, quantum chaos, mesoscopic systems of both non-interacting and interacting particles, including superconducting and spin-orbit phenomena, and stochastic Schrodinger equations describing open quantum systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TIME-REVERSAL SYMMETRY; COULOMB-BLOCKADE OSCILLATIONS; CHAOTIC HAMILTONIAN-SYSTEMS; MIXED BOUNDARY-CONDITIONS; WAVE-FUNCTIONS; STATISTICAL PROPERTIES; NODAL LINES; SUPERCONDUCTING GRAINS; BCS SUPERCONDUCTIVITY; DISORDERED-SYSTEMS; probability distributions in Hilbert space; random wave model; functional Gaussian distribution; quantum billiards; Coulomb-blockade; canonical distribution; open systems; density matrix; unravelling; superconducting grains; spin-orbit interaction; unravelling of Linblad equations |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Petra Gürster |
| Date Deposited: | 19 Jun 2020 08:26 |
| Last Modified: | 19 Jun 2020 08:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15722 |
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