An introduction to Markovian open quantum systems

• URL: http://arxiv.org/abs/2510.26530v2
• Date: Tue, 04 Nov 2025 17:27:18 GMT
• Title: An introduction to Markovian open quantum systems
• Authors: Shovan Dutta,
• Abstract summary: This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations.<n>We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms of pure-state trajectories and the continuous measurement protocols.<n>There are exercise problems and references for further reading throughout the notes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms of stochastic pure-state trajectories and the corresponding continuous measurement protocols, the structure of steady states with emphasis on the role of symmetry and conservation laws, and a sampling of the novel physical phenomena that arise from nonunitary dynamics (dissipation and measurements). This is far from a comprehensive summary of the field. Rather, the objective is to provide a conceptual foundation and physically illuminating examples that are useful to graduate students and researchers entering this subject. There are exercise problems and references for further reading throughout the notes.

Related papers

• One- and multiphoton resonances in the light-atom interaction [84.13688425837616]
  We show how one- and multiphoton resonances arise in the semiclassical regime.<n>Special attention is given to the three-photon resonance, a phenomenon usually neglected in textbooks.
  arXiv  Detail & Related papers  (2025-08-31T20:41:55Z)
• Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction [0.0]
  The text is designed to provide a solid theoretical foundation for the study of interacting quantum systems.<n>Special attention is given to formal consistency and pedagogical structure, so as to guide the reader through both the conceptual and technical aspects of the subject.
  arXiv  Detail & Related papers  (2025-07-12T09:58:54Z)
• Is Lindblad for me? [56.71474844967995]
  The Lindblad master equation is a foundational tool for modeling the dynamics of open quantum systems.<n>We re-examine the folklore surrounding its three standard approximations.<n>We offer a checklist that contrasts common lore with refined expectations.
  arXiv  Detail & Related papers  (2025-06-27T17:59:59Z)
• Non-Markovian Ensemble Propagation [41.94295877935867]
  We introduce the Non-Markovian Ensemble Propagation (NMEP) method, which extends the Monte Carlo Wave-Function (MCWF) method to the non-Markovian case.<n>We demonstrate its accuracy and effectiveness in a selection of examples, and compare the results with either analytic expressions or direct numerical integration of the master equation.
  arXiv  Detail & Related papers  (2024-10-16T06:59:44Z)
• Physical consequences of Lindbladian invariance transformations [44.99833362998488]
  We show that symmetry transformations can be exploited, on their own, to optimize practical physical tasks. In particular, we show how they can be used to change the measurable values of physical quantities regarding the exchange of energy and/or information with the environment.
  arXiv  Detail & Related papers  (2024-07-02T18:22:11Z)
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
  We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
  arXiv  Detail & Related papers  (2024-02-19T19:00:02Z)
• A pedagogical introduction to continuously monitored quantum systems and measurement-based feedback [0.0]
  We start by giving a simplified derivation of the Markovian master equation in Lindblad form. The same formalism is then exploited to derive master equations that describe conditional dynamics. We focus on the two most paradigmatic examples of continuous monitoring.
  arXiv  Detail & Related papers  (2023-12-20T17:31:19Z)
• Signatures of dissipative quantum chaos [0.0]
  This thesis lays out a generic framework for the study of the universal properties of realistic, chaotic, and dissipative quantum systems. It provides the concrete building blocks of dynamical dissipative evolution constrained by symmetry.
  arXiv  Detail & Related papers  (2023-11-02T18:08:48Z)
• Observation of multiple steady states with engineered dissipation [19.94001756170236]
  We introduce engineered noise into a one-dimensional ten-qubit superconducting quantum processor to emulate a generic many-body open quantum system. We find that the information saved in the initial state maintains in the steady state driven by the continuous dissipation on a five-qubit chain.
  arXiv  Detail & Related papers  (2023-08-25T08:06:44Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Quantum collision models: open system dynamics from repeated interactions [1.5293427903448022]
  We present an extensive introduction to quantum collision models (CMs), also known as repeated interactions schemes. This article could be seen as an introduction to fundamentals of open quantum systems theory since most main concepts of this are treated such as quantum maps, Lindblad master equation, steady states, POVMs, quantum trajectories and Schrodinger equation.
  arXiv  Detail & Related papers  (2021-06-22T18:00:01Z)
• Non-Hermitian Physics [4.511923587827301]
  Review is given on the foundations and applications of non-Hermitian classical and quantum physics. In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility. Other topics related to non-Hermitian physics, including nonreciprocal transport, speed limits, nonunitary quantum walk, are also reviewed.
  arXiv  Detail & Related papers  (2020-06-02T18:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.