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The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic…

Quantum Physics · Physics 2025-04-04 Sayak Adhikari , Roi Baer

Dehmelt's Lambda-experiment for a three-level atom with simultaneously driven strong and weak transition is studied within quantum stochastic calculus approach. The statistics of the emitted photons is found by the method of generating…

Quantum Physics · Physics 2012-07-05 Anita Dabrowska

The counting statistics give insight into the properties of quantum states of light and other quantum states of matter such as ultracold atoms or electrons. The theoretical description of photon counting was derived in the 1960s and was…

Quantum Physics · Physics 2012-08-23 Sibylle Braungardt , Mirta Rodríguez , Roy J. Glauber , Maciej Lewenstein

We derive photon counting statistics for an output field of a single-photon wave packet interacting with a quantum system (e.g. a quantum harmonic oscillator or a two-level atom). We determine the exclusive probability densities for the…

Quantum Physics · Physics 2023-05-03 Anita Dąbrowska

We propose that nonequilibrium quantum criticality in open systems at both zero and finite temperatures can be described by a master equation of the Lindblad form. We derive this equation from a system coupling microscopic to a heat bath.…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Peizhi Mai , Fan Zhong

We develop a Lindblad framework for quantum stochastic thermodynamics to study the nonequilibrium thermodynamics of open quantum systems. Our approach adopts the local quantum detailed balance condition, ensuring thermodynamic consistency…

Quantum Physics · Physics 2025-02-28 Jin-Fu Chen

Characterization of photon statistics of a light source is one of the most basic tools in quantum optics. Although the outcome from existing methods is believed to be a good approximation when the measured light is sufficiently weak, there…

Quantum Physics · Physics 2019-03-26 Masahiro Kumazawa , Toshihiko Sasaki , Masato Koashi

An expression of the Lindbladian form is proposed that ensures an unambiguous time-continuous reduction of the initial system-pointer wave-packet to one in which the readings and the observable's values are aligned, formalized as the…

Quantum Physics · Physics 2023-01-10 Robert Englman , Asher Yahalom

We determine filtering and master equations for a quantum system interacting with wave packet of light in a continuous-mode squeezed number state. We formulate the problem of conditional evolution of a quantum system making use of model of…

Quantum Physics · Physics 2024-07-18 Anita Dąbrowska , Marcin Marciniak

Fast-forwarding refers to the ability to simulate a system of time $t$ using significantly fewer than $t$ queries or circuit depth. While various Hamiltonian systems are known to circumvent the no fast-forwarding theorem, analogous results…

Quantum Physics · Physics 2026-05-25 Zhong-Xia Shang , Dong An , Changpeng Shao

We present an introduction to the theory of open extended quantum systems. We begin with a microscopic derivation of the so-called Lindblad equation followed by a more abstract approach. Next, we introduce collision models, a versatile…

Quantum Physics · Physics 2024-12-10 Dragi Karevski

The Lindblad form of the master equation has proven to be one of the most convenient ways to describe the impact of an environment interacting with a quantum system of interest. For single systems the jump operators characterizing these…

Quantum Physics · Physics 2021-12-02 Ralf Betzholz , Bruno G. Taketani , Juan Mauricio Torres

The decay of photoexcited quantum systems (examples are photodissociation of molecules and autoionization of atoms) can be viewed as a half-collision process (an incoming photon excites the system which subsequently decays by dissociation…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Gorin , B. Mehlig , W. Ihra

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We perform a…

Statistical Mechanics · Physics 2019-11-07 Lucas Sá

Single-photon sources are used in numerous quantum technologies, from sensing and imaging to communication, making the accurate modeling of their emissions essential. In this work, we propose a statistical framework for describing…

Characterising the input-output photon-number distribution of an unknown optical quantum channel is an important task for many applications in quantum information processing. Ideally, this would require deterministic photon-number sources…

Quantum Physics · Physics 2021-09-14 Emilien Lavie , Ignatius William Primaatmaja , Wen Yu Kon , Chao Wang , Charles Ci Wen Lim

A linear open quantum system consisting of a harmonic oscillator linearly coupled to an infinite set of independent harmonic oscillators is considered; these oscillators have a general spectral density function and are initially in a…

Quantum Physics · Physics 2009-11-06 Esteban Calzetta , Albert Roura , Enric Verdaguer

The excitation of atomic and molecular systems by propagating light in a two-photon state within the Wigner-Weisskopf approximation has been described using stochastic tools. The problem of a stochastic evolution of the quantum system,…

Quantum Physics · Physics 2025-02-19 Anita Dabrowska , Gniewomir Sarbicki

Photon-resolved Floquet theory keeps track of the photon exchange of a quantum system with a coherent driving field. It thus complements the standard full-counting statistics that counts the number of photons exchanged with incoherent…

Quantum Physics · Physics 2024-08-01 G. Engelhardt , JunYan Luo , V. M. Bastidas , G. Platero

An effective model for describing the relativistic quantum dynamics of a radiating electron is developed via a relativistic generalization of the Lindblad master equation. By incorporating both radiation reaction and vacuum fluctuations…

Quantum Physics · Physics 2026-01-01 Andre G. Campos , Karen Z. Hatsagortsyan , Christoph H. Keitel