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We present a method to describe driven-dissipative multi-mode systems by considering a truncated hierarchy of equations for the correlation functions. We consider two hierarchy truncation schemes with a global cutoff on the correlation…

Quantum Gases · Physics 2016-09-08 Wim Casteels , Stefano Finazzi , Alexandre Le Boité , Florent Storme , Cristiano Ciuti

We explore the task of optimal quantum channel identification, and in particular the estimation of a general one parameter quantum process. We derive new characterizations of optimality and apply the results to several examples including…

Quantum Physics · Physics 2009-11-10 Mohan Sarovar , G. J. Milburn

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We study the dissipative dynamics of a biased two-level system (TLS) coupled to a harmonic oscillator (HO), the latter interacting with an Ohmic environment. Using Van-Vleck perturbation theory and going to second order in the coupling…

Quantum Physics · Physics 2008-11-24 Johannes Hausinger , Milena Grifoni

The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of…

Quantum Physics · Physics 2015-06-05 T. G. Philbin

Nowadays, two of the most prospering fields of physics are quantum computing and spintronics. In both, the loss of information and dissipation plays a crucial role. In the present work we formulate the quantization of the dissipative…

Quantum Physics · Physics 2022-07-28 Ferenc Márkus , Katalin Gambár

We reanalyse the quantum damped harmonic oscillator, introducing three less than common features. These are (i) the use of a continuum model of the reservoir rather than an ensemble of discrete oscillators, (ii) an exact diagonalisation of…

Quantum Physics · Physics 2023-06-28 Stephen M. Barnett , James D. Cresser , Sarah Croke

We introduce a special class of truncated Weyl-Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this…

Quantum Physics · Physics 2012-10-30 M. Daoud , A. Jellal , E. B. Choubabi , E. H. El Kinani

Temperature effect on quantum tunneling in a Cooper-pair-box coupled to a quantum oscillator is studied by both numerical and analytical calculations. It is found that, in strong coupling regions, coherent tunneling of a Cooper-pair-box can…

Mesoscale and Nanoscale Physics · Physics 2008-12-11 Ying-Hua Huang , Hang Wong , Zhi-De Chen

We systematically investigate how to quantize a transmission line resonator (TLR) in a mesoscopic electrical circuits in the presence of the resistance and the conductance of the dielectric media. Developed from the quantum bath based…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. D. Wang , C. P. Sun

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we determine the degree of quantum decoherence of a harmonic oscillator interacting with a thermal bath. It is found that the system…

Quantum Physics · Physics 2008-03-27 Aurelian Isar

To investigate a system coupled to a harmonic oscillator bath, we propose a new approach based on a phonon number representation of the bath. Compared to the method of the hierarchical equations of motion, the new approach is…

Quantum Physics · Physics 2020-01-08 M. Tokieda , K. Hagino

We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a…

Statistical Mechanics · Physics 2020-04-08 Achilleas Lazarides , Sthitadhi Roy , Francesco Piazza , Roderich Moessner

In this paper we study a system of $N$ coupled quantum oscillators interacting with each other directly with varying coupling strengths and indirectly through linear couplings to a scalar massless quantum field as its environment. The…

Quantum Physics · Physics 2013-06-19 J. -T. Hsiang , Rong Zhou , B. L. Hu

We investigate the longstanding problem of thermalization of quantum systems coupled to an environment by focusing on a bistable quartic oscillator interacting with a finite number of harmonic oscillators. In order to overcome the…

Quantum Physics · Physics 2021-11-22 Sreeja Loho Choudhury , Frank Grossmann

We report a bulk optics experiment demonstrating the possibility of restoring the entanglement distribution through noisy quantum channels by inserting a suitable unitary operation (filter) in the middle of the transmission process. We…

Compressive sensing is used to perform high-dimensional quantum channel estimation with classical light. As an example, we perform a numerical simulation for the case of a three-dimensional classically non-separable state that is propagated…

Quantum Physics · Physics 2020-01-15 Chemist M. Mabena , Filippus S. Roux

The parquet equations are a self-consistent set of equations for the effective two-particle vertex of an interacting many-fermion system. The application of these equations to bulk models is, however, demanding due to the complex emergent…

Strongly Correlated Electrons · Physics 2018-09-05 C. J. Eckhardt , G. A. H. Schober , J. Ehrlich , C. Honerkamp

We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths of quantum scalar fields at different temperature $T_1$ and $T_2$ with bilinear couplings between them. We particularly focus on the…

Quantum Physics · Physics 2021-03-26 Wei-Can Syu , Da-Shin Lee , Chen-Pin Yeh

It is possible to fabricate mesoscopic structures where at least one of the dimensions is of the order of de Broglie wavelength for cold electrons. By using semiconductors, composed of more than one material combined with a metal slip-gate,…

Quantum Physics · Physics 2017-08-23 B. Nilsson