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The quantum-jump approach to dissipative dynamics in quantum optics
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Dissipation, the irreversible loss of energy and coherence, from a microsystem is the result of coupling to a much larger macrosystem (or reservoir) that 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, which results in an irreversible decay as excitation leaks out of the initially excited microsystems into the outer reservoir environment. Earlier treatments of this dissipation used density matrices to describe an ensemble of microsystems, either in the Schr\"odinger picture with master equations, or in the 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. These methods, variously described as quantum-jump, Monte Carlo wave function, 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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“If the N subsystems are used independently, so that the input state is factorizable as N product states, only the standard scaling dictated by the central limit theorem D f ∼ 1 / √ N is achievable.”
From Quantum Speed Limits in Open System Dynamics (2013) · cites this paper as [31]
In the citing paper
“In a seminal paper [31], Braunstein and Caves (BC) derived a quantum Cramer-Rao bound for the uncertainty in the (local) estimation of a classical parameter f of the form:”
From Quantum Speed Limits in Open System Dynamics (2013) · cites this paper as [31]
In the citing paper
“When the dynamics is unitary, an initial preparation of a probe state in a cat (GHZ) state of N subsystems allows to saturate the lower bound and achieve a Heisenberg-limited resolution where D f ∼ 1 / N .”
From Quantum Speed Limits in Open System Dynamics (2013) · cites this paper as [31]
In the citing paper
“In fact, the dynamics of any QME with a generator of the form of Eq. (28) can be represented through a stochastic process in Hilbert space.”
From Modeling heat transport through completely positive maps (2007) · cites this paper as [17]
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Metadata
- Authors
- Plenio, M. B., & Knight, P. L.
- Affiliations
- Imperial College London (GB)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1998-01-01
- Volume
- 70
- Issue
- 1
- Pages
- 101-144
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2019442644
- Cited by
- 1,515
- References
- 207
- Citations by year
- 2026: 80 · 2025: 88 · 2024: 83 · 2023: 70 · 2022: 90 · 2021: 68 · 2020: 59 · 2019: 100 · 2018: 59 · 2017: 52 · 2016: 58 · 2015: 53 · 2014: 43 · 2013: 56 · 2012: 55
- FWCI
- 20.52
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Spiral (Imperial College London) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Alexander von Humboldt-Stiftung
- European Commission
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- dissipative dynamics, open quantum systems, quantum trajectories, master equation, Langevin equation, decoherence, single quantum system, cavity quantum electrodynamics, trapped ions, quantum optics
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