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We give a first principles derivation of a master equation for the evolution of a quantum matter field in a linearly perturbed Minkowski spacetime, based solely on quantum field theory and general relativity. We make no additional…

General Relativity and Quantum Cosmology · Physics 2015-06-16 C. Anastopoulos , B. L. Hu

We study the constraints imposed on the population and phase relaxation rates by the physical requirement of completely positive evolution for open N-level systems. The Lindblad operators that govern the evolution of the system are…

Quantum Physics · Physics 2009-11-10 Sonia G Schirmer , Allan I Solomon

The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time…

Quantum Physics · Physics 2020-09-04 Bernd Fernengel , Barbara Drossel

We develop a formalism to model neutrino evolution encompassing both flavor and particle-antiparticle mixings and decohering collisions. Our results include a quantum kinetic equation (a set of coupled scalar equations) for the generalized…

High Energy Physics - Phenomenology · Physics 2023-10-13 Kimmo Kainulainen , Harri Parkkinen

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

Quantum Physics · Physics 2014-02-24 Victor V. Albert , Liang Jiang

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

Quantum Physics · Physics 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

We derive the evolution equations for a system of neutrinos interacting among themselves and with a matter background, based upon the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. This theoretical framework gives an (unclosed) set…

High Energy Physics - Phenomenology · Physics 2015-06-15 Cristina Volpe , Daavid Väänänen , Catalina Espinoza

Neutrino interactions with an external environment can in influence the neutrino oscillation pattern and the oscillations can be damped as a result of the neutrino quantum decoherence. In particular, the quantum decoherence of neutrino…

High Energy Physics - Phenomenology · Physics 2020-05-20 Konstantin Stankevich , Alexander Studenikin

In dense neutrino backgrounds present in supernovae and in the early Universe, neutrino oscillations may exhibit complex collective phenomena, such as synchronized oscillations, bipolar oscillations and spectral splits and swaps. In this…

High Energy Physics - Phenomenology · Physics 2017-03-02 Evgeny Akhmedov , Joachim Kopp , Manfred Lindner

We examine the effectiveness of Lindblad master equation in capturing the short-time dynamics of entanglement and purity in open quantum systems. Focusing on two interacting two-level systems interacting with a larger environment, we…

Considering the neutrino state like an open quantum system, we analyze its propagation in vacuum or in matter. After defining what can be called decoherence and relaxation effects, we show that in general the probabilities in vacuum and in…

High Energy Physics - Phenomenology · Physics 2016-05-11 Roberto L. N. Oliveira , Marcelo M. Guzzo , Pedro C. de Holanda

We reconsider the evolution of strongly degenerate neutrinos in the early universe. Our chief concern is the validity of the entropy conservation after the neutrino annihilation process has frozen out (so that the establishment of chemical…

Astrophysics · Physics 2009-11-07 Kazuhide Ichikawa , Masahiro Kawasaki

We present an expression for the transition probability between Dirac or Majorana neutrino flavors obtained from first principles within quantum field theory. Our derivation is based on a standard quantum mechanical setup and includes the…

High Energy Physics - Phenomenology · Physics 2008-10-23 Luca Visinelli , Paolo Gondolo

The neutrino oscillation patterns can be modified by neutrino interactions with external environments including electromagnetic fields that can influence on neutrinos in the case neutrinos have nonzero electromagnetic properties [1]. The…

High Energy Physics - Phenomenology · Physics 2020-01-01 Konstantin Stankevich , Alexander Studenikin

Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation…

Quantum Physics · Physics 2021-07-07 Sofia Qvarfort , Michael R. Vanner , P. F. Barker , David Edward Bruschi

We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom interacting through collisions with a background ideal gas. When either…

Quantum Physics · Physics 2010-10-27 Andrea Smirne , Bassano Vacchini

We study the interplay between coherence and mixedness in meson and neutrino systems. The dynamics of the meson system is treated using the open quantum system approach taking into account the decaying nature of the system. Neutrino…

High Energy Physics - Phenomenology · Physics 2019-02-05 Khushboo Dixit , Javid Naikoo , Subhashish Banerjee , Ashutosh Kumar Alok

We investigate a scenario in which neutrinos are coupled to a pseudoscalar degree of freedom $\ph$ and where decays $\nu_1 \to \nu_2+\ph$ and inverse decays are the responsible mechanism for obtaining equilibrium. In this context we discuss…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-30 Anders Basboll , Ole Eggers Bjaelde

The propagation of neutrinos in long baselines experiments may be influenced by dissipation effects. Using Lindblad Master Equation we evolve neutrinos taking into account these dissipative effects. The MSW and the dissipative effects may…

High Energy Physics - Phenomenology · Physics 2016-08-24 Roberto L. N. Oliveira

Master equations govern the time evolution of a quantum system interacting with an environment, and may be written in a variety of forms. Time-independent or memoryless master equations, in particular, can be cast in the well-known Lindblad…

Quantum Physics · Physics 2014-05-05 Michael J. W. Hall , James D. Cresser , Li Li , Erika Andersson