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Interference between multiple distinct paths is a defining property of quantum physics, where "paths" may involve actual physical trajectories, as in interferometry, or transitions between different internal (e.g. spin) states, or both. A…

A closed expression for the density operator of the damped harmonic oscillator is extracted from the master equation based on the Lindblad theory for open quantum systems. The entropy and effective temperature of the system are subsequently…

High Energy Physics - Theory · Physics 2007-05-23 A. Isar

By exploiting the peculiarities of a recently introduced formalism for describing open quantum systems (the Parametric Representation with Environmental Coherent States) we derive an equation of motion for the reduced density operator of an…

Quantum Physics · Physics 2022-11-23 Giovanni Spaventa , Paola Verrucchi

The simulation of many-body open quantum systems is key to solving numerous outstanding problems in physics, chemistry, material science, and in the development of quantum technologies. Near-term quantum computers may bring considerable…

Quantum Physics · Physics 2025-02-05 Sara Santos , Xinyu Song , Vincenzo Savona

Quantum entanglement is a powerful quantum resource for enhancing measurement precision beyond classical limit. % Here we propose an entanglement-enhanced symmetry-protected destructive many-body Ramsey interferometry for precise parameter…

Quantum Physics · Physics 2025-09-11 Sijie Chen , Jiahao Huang , Min Zhuang , Chaohong Lee

A scheme to realize an electron interferometer using low-intensity, bi-chromatic laser pulses as beam splitter is proposed. The splitting process is based on a modification of the Kapitza-Dirac effect, which produces a momentum kick for…

Quantum Physics · Physics 2013-10-18 Karl-Peter Marzlin

The Kullback-Leibler inequality is a way of comparing any two density matrices. A technique to set up the density matrix for a physical system is to use the maximum entropy principle, given the entropy as a functional of the density matrix,…

Statistical Mechanics · Physics 2009-11-07 A. K. Rajagopal , R. W. Rendell , Sumiyoshi Abe

We consider an open quantum Fermi-system which consists of a single degenerate level with pairing interactions embedded into a superconducting bath. The time evolution of the reduced density matrix for the system is given by Linblad master…

Superconductivity · Physics 2015-05-28 Daniel S. Kosov , Tomaz Prosen , Bojan Zunkovic

We present a numerical method to approximate the long-time asymptotic solution $\rho_\infty(t)$ to the Lindblad master equation for an open quantum system under the influence of an external drive. The proposed scheme uses perturbation…

Quantum Physics · Physics 2018-11-14 Brian Baker , Andy C. Y. Li , Nicholas Irons , Nathan Earnest , Jens Koch

Ramsey interferometers have wide applications in science and engineering. Compared with the traditional interferometer based on internal states, the interferometer with external quantum states has advantages in some applications for quantum…

We report a narrowing of the interference pattern obtained in an atomic Ramsey interferometer if the two separated fields have different frequency and their phase difference is controlled. The width of the Ramsey fringes depends inversely…

Quantum Physics · Physics 2013-05-29 D. Seidel , J. G. Muga

Lattice models of fermions, bosons, and spins have long served to elucidate the essential physics of quantum phase transitions in a variety of systems. Generalizing such models to incorporate driving and dissipation has opened new vistas to…

Quantum Physics · Physics 2016-06-22 Andy C. Y. Li , F. Petruccione , Jens Koch

We consider an ensemble of quantum systems whose average evolution is described by a density matrix, solution of a Lindblad-Kossakowski differential equation. We focus on the special case where the decoherence is only due to a highly…

Mathematical Physics · Physics 2008-01-11 Mazyar Mirrahimi , Pierre Rouchon

Density Matrix Exponentiation is a technique for simulating Hamiltonian dynamics when the Hamiltonian to be simulated is available as a quantum state. In this paper, we present a natural analogue to this technique, for simulating Markovian…

Quantum Physics · Physics 2023-09-06 Dhrumil Patel , Mark M. Wilde

We employ the theoretical framework of positive operator valued measures, to study Markovian open quantum systems. In particular, we discuss how a quantum system influences its environment. Using the theory of indirect measurements, we then…

Quantum Physics · Physics 2010-09-23 Ingo Kamleitner

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

Every measurement of the population in an uncorrelated ensemble of two-level systems is limited by what is known as the quantum projection noise limit. Here, we present quantum projection noise limited performance of a Ramsey type…

Quantum Physics · Physics 2010-04-29 D. Döring , G. McDonald , J. E. Debs , C. Figl , P. A. Altin , H. -A. Bachor , N. P. Robins , J. D. Close

In the framework of the Heisenberg picture, an alternative derivation of the reduced density matrix of a driven dissipative quantum harmonic oscillator as the prototype of an open quantum system is investigated. The reduced density matrix…

Quantum Physics · Physics 2019-11-14 Fardin Kheirandish

We use the density matrix formalism to analyze the interaction of interferometer-type superconducting qubits with a high quality tank circuit, which frequency is well below the gap frequency of a qubit. We start with the ground state…

Superconductivity · Physics 2008-04-02 Ya. S. Greenberg , E. Il'ichev

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