Complex geometrical phases for dissipative systems

J. C. Garrison; E. M. Wright

doi:10.1016/0375-9601(88)90905-X

Complex geometrical phases for dissipative systems

J. C. Garrison, E. M. Wright

Research output: Contribution to journal › Article › peer-review

209 Scopus citations

Abstract

We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

Original language	English (US)
Pages (from-to)	177-181
Number of pages	5
Journal	Physics Letters A
Volume	128
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9601(88)90905-X
State	Published - Mar 28 1988

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(88)90905-X

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title = "Complex geometrical phases for dissipative systems",

abstract = "We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.",

author = "Garrison, {J. C.} and Wright, {E. M.}",

note = "Funding Information: It is a pleasure to acknowledge many useful conversations with R.Y. Chiao and J. Anandan. This work was performed under auspices of the U.S. Department of Energy by the Lawrence Livermore Laboratory under Contract No. W-7405-Eng-48.",

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doi = "10.1016/0375-9601(88)90905-X",

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AU - Garrison, J. C.

AU - Wright, E. M.

N1 - Funding Information: It is a pleasure to acknowledge many useful conversations with R.Y. Chiao and J. Anandan. This work was performed under auspices of the U.S. Department of Energy by the Lawrence Livermore Laboratory under Contract No. W-7405-Eng-48.

PY - 1988/3/28

Y1 - 1988/3/28

N2 - We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

AB - We show that the geometrical phases associated with cyclic unitary time evolutions in quantum mechanics are replaced by complex geometrical multipliers in the case of dissipative evolution equations phenomenologically described by nonhermitian hamiltonians.

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DO - 10.1016/0375-9601(88)90905-X

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VL - 128

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EP - 181

JO - Physics Letters A

JF - Physics Letters A

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ER -

Complex geometrical phases for dissipative systems

Abstract

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