| Title: | Expanded boundary integral method and chaotic time-reversal in quatum billiards |
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| Authors: | ID Veble, Gregor (Author)
ID Prosen, Tomaž (Author)
ID Robnik, Marko (Author) |
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| Files: |  New_Journal_of_Physics_2007_Veble,_Prosen,_Robnik_Expanded_boundary_integral_method_and_chaotic_time-reversal_doublets_in_quantum_billia.pdf (2,90 MB)
MD5: EBB0DE2F5609778F21129BC9EADD3FCE
 http://stacks.iop.org/1367-2630/9/i=1/a=015?key=crossref.5639f5a44d96fbeb801a9fb0940748a1
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | We present the expanded boundary integral method for solving the planar Helmholtz problem, which combines the ideas of the boundary integral method and the scaling method and is applicable to arbitrary shapes. We apply the method to a chaotic billiard with unidirectional transport, where we demonstrate the existence of doublets of chaotic eigenstates, which are quasi-degenerate due to time-reversal symmetry, and a very particular level spacing distribution that attains a chaotic Shnirelman peak at short energy ranges and exhibits Gaussian Unitary Ensemble (GUE) like statistics for large energy ranges. We show that, as a consequence of such particular level statistics or algebraic tunnelling between disjoint chaotic components connected by time-reversal operation, the system exhibits quantum current reversals. |
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| Keywords: | 2D Helmholtz equation, energy spectrum, quantum billiard |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 1-18 |
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| Numbering: | Letn. 9 |
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| PID: | 20.500.12556/DKUM-66554  |
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| ISSN: | 1367-2630 |
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| UDC: | 530.14 |
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| ISSN on article: | 1367-2630 |
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| COBISS.SI-ID: | 1975652 |
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| DOI: | 10.1088/1367-2630/9/1/015 |
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| NUK URN: | URN:SI:UM:DK:JF7C6YVI |
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| Publication date in DKUM: | 03.07.2017 |
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| Views: | 1947 |
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| Downloads: | 234 |
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| Metadata: |    |
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| Categories: | Misc.
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