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Focusing on two-level atoms, we apply the positive $P$ representation to a full-wave mixed bosonic and fermionic system of Jaynes-Cummings type and identify an advantageous degree of freedom in the choice of the involved nonorthogonal…

An alternative approach to decoherence, named non-dynamical decoherence is developed and used to resolve the quantum measurement problem. According to decoherence, the observed system is open to a macroscopic apparatus(together with a…

Quantum Physics · Physics 2015-04-08 Yu-Lei Feng , Yi-Xin Chen

Understanding how the dynamics of a given quantum system with many degrees of freedom is altered by the presence of a generic perturbation is a notoriously difficult question. Recent works predict that, in the overwhelming majority of…

Statistical Mechanics · Physics 2021-12-01 Tjark Heitmann , Jonas Richter , Jochen Gemmer , Robin Steinigeweg

The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system, the adiabatic…

Quantum Physics · Physics 2009-11-13 X. X. Yi , D. M. Tong , L. C. Kwek , C. H. OH

A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

Chemical Physics · Physics 2011-06-30 Navinder Singh , Paul Brumer

We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment. The influence functional formalism combined with a two-time Hubbard-Stratonovich transformation allows us…

Quantum Physics · Physics 2017-03-29 G. M. G. McCaul , C. D. Lorenz , L. Kantorovich

The simulation of quantum processes is a key goal for the grand programme aiming at grounding quantum technologies as the way to explore complex phenomena that are inaccessible through standard, classical calculators. Some interesting steps…

Quantum Physics · Physics 2013-06-12 Andrea Chiuri , Chiara Greganti , Laura Mazzola , Mauro Paternostro , Paolo Mataloni

The interaction between an ultrarelativistic particle and a linear array made up of $N$ two-level systems (^^ ^^ AgBr" molecules) is studied by making use of a modified version of the Coleman-Hepp Hamiltonian. Energy-exchange processes…

High Energy Physics - Theory · Physics 2008-11-26 Hiromichi Nakazato , Saverio Pascazio

We theoretically study the dissipative dynamics of a quantum emitter placed near the planar surface of a metal supporting surface plasmon excitations. The emitter-metal coupling regime can be tuned by varying some control parameters such as…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Alejandro Gonzalez-Tudela , Ferney J. Rodriguez , Luis Quiroga , Carlos Tejedor

For the kinetic energy of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential.…

Other Condensed Matter · Physics 2010-06-25 Attila Cangi , Donghyung Lee , Peter Elliott , Kieron Burke

Manipulating the dynamics of open quantum systems is a crucial requirement for large-scale quantum computers. Finding ways to overcome or extend decoherence times is a challenging task. Already at the level of a single two-level atom, its…

We perform a quantum mechanical analysis of superconducting resonators subject to dielectric loss arising from charged two-level systems. We present numerical and analytical descriptions of the dynamics of energy decay from the resonator…

Quantum Physics · Physics 2015-05-28 M. Bhattacharya , K. D. Osborn , Ari Mizel

We construct measures for the non-Markovianity of quantum evolution with a physically meaningful interpretation. We first provide a general setting in the framework of channel capacities and propose two families of meaningful quantitative…

Quantum Physics · Physics 2016-03-02 Carlos Pineda , Thomas Gorin , David Davalos , Diego A. Wisniacki , Ignacio Garcia-Mata

Certain aspects of some unitary quantum systems are well-described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any non-Hermitian Hamiltonian evolution can be…

High Energy Physics - Lattice · Physics 2021-12-01 Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey

The construction of exactly-solvable models has recently been advanced by considering integrable $T\bar{T}$ deformations and related Hamiltonian deformations in quantum mechanics. We introduce a broader class of non-Hermitian Hamiltonian…

High Energy Physics - Theory · Physics 2023-01-18 Apollonas S. Matsoukas-Roubeas , Federico Roccati , Julien Cornelius , Zhenyu Xu , Aurelia Chenu , Adolfo del Campo

We present analytical results for the time-dependent information entropy in exactly solvable two-state (qubit) models. The first model describes dephasing (decoherence) in a qubit coupled to a bath of harmonic oscillators. The entropy…

Quantum Physics · Physics 2012-12-27 V. G. Morozov , G. Röpke

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

Recent studies have established and rigorously validated a modified Langevin noise formalism that enables first-principles quantization of electromagnetic fields in open and dissipative environments [1,2,3]. Building on this foundation, a…

Optics · Physics 2025-12-10 Jisang Seo , Hyunwoo Choi , Thomas E Roth , Jie Zhu , Weng C Chew , Dong-Yeop Na

The generalization of the Jaynes-Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian generalizing the harmonic oscillator to take into account some nonlinear effects which can occurs…

High Energy Physics - Theory · Physics 2009-10-31 M. Daoud , J. Douari

We address the calibration of a computationally expensive nuclear physics model for which derivative information with respect to the fit parameters is not readily available. Of particular interest is the performance of optimization-based…