A trivial observation on time reversal in random matrix theory
Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8113, Vol: 40, Issue: 49, Page: F1063-F1068
2007
- 4Citations
- 7Captures
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Metrics Details
- Citations4
- Citation Indexes4
- CrossRef4
- Captures7
- Readers7
Article Description
It is commonly thought that a state-dependent quantity, after being averaged over a classical ensemble of random Hamiltonians, will always become independent of the state. We point out that this is in general incorrect: if the ensemble of Hamiltonians is time reversal invariant, and the quantity involves the state in higher than bilinear order, then we show that the quantity is only a constant over the orbits of the invariance group on the Hilbert space. Examples include fidelity and decoherence in appropriate models.
Bibliographic Details
https://iopscience.iop.org/article/10.1088/1751-8113/40/49/F04; http://stacks.iop.org/1751-8121/40/i=49/a=F04/pdf; http://dx.doi.org/10.1088/1751-8113/40/49/f04; http://stacks.iop.org/1751-8121/40/i=49/a=F04?key=crossref.d7bbb5baed256269ad58af3d846f9e83; https://dx.doi.org/10.1088/1751-8113/40/49/f04; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=d0b4f1eb-9827-46fe-9c03-a9d39ed0dc23&ssb=57968235588&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1751-8113%2F40%2F49%2FF04&ssi=4ea4d662-8427-465a-82f9-2d6332e22154&ssk=support@shieldsquare.com&ssm=59971461172096825117288973225917557&ssn=bdec7f14b9531d310bbfe4b23f1a8aca6ad87a335505-d60e-4252-b767b9&sso=3d867478-27085ae3bbe423faa1dbb7ec4a332123ed53df0fa0f487de&ssp=77242799681718817210171895331647305&ssq=42060313188439899091317913438289467158881&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJ1em14IjoiN2Y5MDAwMmFkMjJkNTUtYjE4Ny00NzczLTkzZGYtZDZkZjUxMzllNjY4My0xNzE4ODE3OTEzOTM3MTEzOTcxMDE4LWNjZjg3MGVjODgyNDczOGIxMTcyOCIsIl9fdXptZiI6IjdmNjAwMDgzYWU5NTE5LTdkZmUtNGUxZi1hM2M3LTNkZjljZWE0ODcxMTE3MTg4MTc5MTM5MzcxMTM5NzEwMTgtMDFiNTNiYjU5ZTZlYmJmMjExNzI4IiwicmQiOiJpb3Aub3JnIn0=
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