Theory of open quantum systems

By R. Xu, Yijing Yan. 2002

7,057 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/04fbededded5f655f00d2dcf01a4441603fe33fe

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Quantum logarithmic Sobolev inequalities and rapid mixing (2012, background): “Motivation : We assume some familiarity with the standard notation of qua ntum dynamical semigroups in this section [16].”
Control of quantum phenomena: past, present and future (2009, background): “Various types of quantum master equations can be derived from the Kraus OSR under additional assumptions [168, 169].”
Suppression of Crosstalk in Superconducting Qubits Using Dynamical Decoupling (2021, background): “(B2) and solve the Redfield (or TCL2) master equation [39, 40] for the rotated system Hamiltonian.”
Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach (2016, methodology): “On the other hand, we will not discuss in any detail many other approaches and ideas that have been proposed to study strongly correlated systems out of equilibrium, including for example exact diagonalization and density-matrix renormalization group (DMRG) [524,525], quantum versions of classical m”
Machine learning exciton dynamics (2015, neutral): “the Markov Redfield master equation [65].”
QuTiP: An open-source Python framework for the dynamics of open quantum systems (2011, methodology): “We present an object-oriented open-source framework for solving the dynamics of open quantum systems written in Python.”
Universal decoherence due to gravitational time dilation (2013, background): “(6), is similar in form to other master equations typically studied in the field of decoherence [4, 21] but does not include any dissipative term.”
Completely positive maps and classical correlations (2007, background): “In the mathematical theory of open quantum systems [2] it is often assumed that the system of interest and its environment are initially in a product state.”
Geometry of Quantum States: Index (2007, background): “Good books on the subject include Alicki and Lendi [26], Streater [863], Ingarden, Kossakowski and Ohya [487], Breuer and Petruccione [170], and Alicki and Fannes [24].”
Quantum thermodynamics (2015, background): “We note that care has to be taken that the dynamical equation also preserves positivity, see [95] for a detailed derivation.”
Non-Markovianity of local dephasing channels and time-invariant discord (2012, background): “From a theoretical point of view the dephasing model is exactly solvable [1–3], and hence it is an ideal testbed to investigate one of the most thrilling ﬁelds of the theory of open quantum systems, that of non-Markovian quantum processes [9].”
Dephasing-assisted transport: quantum networks and biomolecules (2008, methodology): “Therefore, we demonstrate briefly that dephasing assisted transfer of excitation can also be observed when one uses a microscopic model of an environment that may, in addition, exhibit non-Markovian behaviour.”
Pseudo-Hermitian Representation of Quantum Mechanics (2008, background): “The application of a similar idea, that replaces the projection scheme with an averaging scheme, for open quantum systems also leads to a class of nonHermitian effective Hamiltonians (usually called Liouvillian or Liouville’s super operator) [57].”
The quest for a Quantum Neural Network (2014, background): “Based on the theory of open quantum systems [23] and the new emerging field of dissipative quantum computing [24], Open”
Refined Second Law of Thermodynamics for Fast Random Processes (2012, background): “for ones involving Markov processes with jumps and/or discrete state spaces [26, 27, 42, 50], see the recent work [46], for open quantum systems [12] (sometimes also described by jump processes), see the problem of work optimization in a model of quantum dot considered in [19], or for the ones invol”