Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations

By H. Carmichael, M. Scully. 2003

737 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4dc76ef4307a763020b7cd18dee7f82ca17446c6

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities (2012, background): “Following the standard “input-output theory” [45, 47], it is possible to show that the homodyne spectrum can be linked to the Keldysh response function via”
Quantum trajectories and open many-body quantum systems (2014, background): “In the lowest band, the heating and thermalization together can be effectively described by a master equation [4] (see Supplemental Material [36]),”
Quantum physics of simple optical instruments (2003, background): “Quantum mechanics requires that the number of input modes is exactly the same as the number of output modes.”
Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories (2020, background): “An open quantum system interacting with its environment must include dissipative terms describing the progressive loss of energy, coherence, and information transfer to the environment [18–22].”
Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps (2019, background): “, memoryless) environment can be expressed using the so-called Lindblad master equation [8,9,13,47,49,50] (hereafter, we set h̄ = 1):”
Symmetries and conserved quantities in Lindblad master equations (2013, neutral): “4 in [39]).”
Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: Quantification, sharing structure, and decoherence (2005, methodology): “Under the Born-Markov approximation [84], the HamiltonianHint leads, upon partial tracing over the bath, to the following master equation for t he n modes of the system (in interaction picture) [82]”
Nonequilibrium physics in biology (2019, methodology): “This approach has been applied to decoherence dynamics in quantum optics (Carmichael, 2010; Scully and Zubairy, 1997a), chemical reactions (Mukamel, 1999) and also condensed matter systems (Weiss, 2012a).”
Quantum memories based on engineered dissipation (2010, background): “As a first step, the master equation defining ρ(t) is unraveled [24] into event histories L to obtain Exp.”
Cold atoms in cavity-generated dynamical optical potentials (2012, methodology): “Correspondingly, the dynamics of the system is described by a quantum master equation (Carmichael, 2003)”