dorsal/arxiv
View SchemaThe Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
| Authors | M. B. Plenio, P. L. Knight |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702007 |
| URL | https://arxiv.org/abs/quant-ph/9702007 |
| DOI | 10.1103/RevModPhys.70.101 |
| Journal | Rev.Mod.Phys.70:101-144,1998 |
Abstract
Dissipation, the irreversible loss of energy and coherence, from a microsystem, is the result of coupling to a much larger macrosystem (or reservoir) which is so large that one has no chance of keeping track of all of its degrees of freedom. The microsystem evolution is then described by tracing over the reservoir states, resulting in an irreversible decay as excitation leaks out of the initially excited microsystems into the outer reservoir environment. Earlier treatments of this dissipation described an ensemble of microsystems using density matrices, either in Schroedinger picture with Master equations, or in Heisenberg picture with Langevin equations. The development of experimental techniques to study single quantum systems (for example single trapped ions, or cavity radiation field modes) has stimulated the construction of theoretical methods to describe individual realizations conditioned on a particular observation record of the decay channel, in the environment. These methods, variously described as Quantum Jump, Monte Carlo Wavefunction and Quantum Trajectory methods are the subject of this review article. We discuss their derivation, apply them to a number of current problems in quantum optics and relate them to ensemble descriptions.
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"abstract": "Dissipation, the irreversible loss of energy and coherence, from a\nmicrosystem, is the result of coupling to a much larger macrosystem (or\nreservoir) which is so large that one has no chance of keeping track of all of\nits degrees of freedom. The microsystem evolution is then described by tracing\nover the reservoir states, resulting in an irreversible decay as excitation\nleaks out of the initially excited microsystems into the outer reservoir\nenvironment. Earlier treatments of this dissipation described an ensemble of\nmicrosystems using density matrices, either in Schroedinger picture with Master\nequations, or in Heisenberg picture with Langevin equations. The development of\nexperimental techniques to study single quantum systems (for example single\ntrapped ions, or cavity radiation field modes) has stimulated the construction\nof theoretical methods to describe individual realizations conditioned on a\nparticular observation record of the decay channel, in the environment. These\nmethods, variously described as Quantum Jump, Monte Carlo Wavefunction and\nQuantum Trajectory methods are the subject of this review article. We discuss\ntheir derivation, apply them to a number of current problems in quantum optics\nand relate them to ensemble descriptions.",
"arxiv_id": "quant-ph/9702007",
"authors": [
"M. B. Plenio",
"P. L. Knight"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/RevModPhys.70.101",
"journal_ref": "Rev.Mod.Phys.70:101-144,1998",
"title": "The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics",
"url": "https://arxiv.org/abs/quant-ph/9702007"
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