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We demonstrate that the dynamics of an open quantum system can be calculated efficiently and with predefined error, provided a basis exists in which the system-environment interactions are local and hence obey the Lieb-Robinson bound. We…

Quantum Physics · Physics 2015-03-19 Giulia Gualdi , Christiane P. Koch

The evolution of the Schr\"{o}dinger-cat states in a dissipative parametric amplifier is examined. The main tool in the analysis is the normally ordered characteristic function. Squeezing, photon-number distribution and reduced factorial…

Quantum Physics · Physics 2015-05-30 Faisal A. A. El-Orany , J. Perina , V. Perinova , and M. Sebawe Abdalla

We propose a new approach to coarse-grained description of quantum evolution that provides an explicit recipe to construct and evaluate multi-time decoherent histories in a controlled way, applicable to non-Markovian and integrable systems.…

Quantum Physics · Physics 2026-04-15 Nataliya Arefyeva , Evgeny Polyakov

We study how decoherence increases the efficiency with which we can simulate the quantum dynamics of an anharmonic oscillator, governed by the Kerr effect. As decoherence washes out the fine-grained subPlanck structure associated with…

Quantum Physics · Physics 2024-02-12 Tzula B. Propp , Sayonee Ray , John B. DeBrota , Tameem Albash , Ivan Deutsch

The decoherence of a two-state system coupled with a sub-Ohmic bath is investigated theoretically by means of the perturbation approach based on a unitary transformation. It is shown that the decoherence depends strongly and sensitively on…

Quantum Physics · Physics 2017-07-10 Zhiguo Lü , Hang Zheng

Backaction-evading measurements of mechanical motion can achieve precision below the zero-point uncertainty and quantum squeezing, which makes them a resource for quantum metrology and quantum information processing. We provide an exact…

Quantum Physics · Physics 2020-07-06 Matteo Brunelli , Daniel Malz , Andreas Nunnenkamp

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium}…

Disordered Systems and Neural Networks · Physics 2013-03-18 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

Interactions between atoms and light in optical cavities provide a means of investigating collective (many-body) quantum physics in controlled environments. Such ensembles of atoms in cavities have been proposed for studying collective…

In this note I introduce a mysterious approximation called the rotating wave approximation (RWA) to undergraduates or non-experts who are interested in both Mathematics and Quantum Optics. In Quantum Optics it plays a very important role in…

Quantum Physics · Physics 2014-05-26 Kazuyuki Fujii

To extend the classical concept of Markovianity to an open quantum system, different notions of the divisibility of its dynamics have been introduced. Here we analyze this issue by five complementary approaches: equations of motion,…

Quantum Physics · Physics 2019-07-26 Viktor Reimer , Maarten Rolf Wegewijs , Konstantin Nestmann , Mikhail Pletyukhov

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

Statistical Mechanics · Physics 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

We consider a cavity optomechanical cooling configuration consisting of a mechanical resonator (denoted as resonator b) and an electromagnetic resonator (denoted as resonator a), which are coupled in such a way that the effective resonance…

Quantum Physics · Physics 2015-05-28 Eyal Buks

We study the evolution of an oscillator interacting via the most general bilinear coupling (with time-independent coefficients) with an ``environment'' consisting of a set of other harmonic oscillators. We are mainly interested in a…

Quantum Physics · Physics 2007-05-23 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko

The entanglement of two qubits, each defined as an effective two-level, spin 1/2 system, is investigated for the case that the qubits interact via a Heisenberg XY interaction and are subject to decoherence due to population relaxation and…

Quantum Physics · Physics 2007-05-23 Jin Wang , Herman Batelaan , Jeremy Podany , Anthony F. Starace

We propose a realistic scheme to determine the quantum state of a single mode cavity field even after it has started to decay due to the coupling with an environment. Although dissipation destroys quantum coherences, we show that at zero…

Quantum Physics · Physics 2015-06-26 H. Moya-Cessa , S. M. Dutra , A. Vidiella-Barranco , J. A. Roversi

We investigate theoretically the temporal evolution of a squeezed state in lossy coupled-cavity systems. We present a general formalism based upon the tight binding approximation and apply this to a two-cavity system as well as to a coupled…

Quantum Physics · Physics 2018-03-07 Hossein Seifoory , Marc. M. Dignam

The existence of an exactly marginal deformation in a conformal field theory is very special, but it is not well understood how this is reflected in the allowed dimensions and OPE coefficients of local operators. To shed light on this…

High Energy Physics - Theory · Physics 2018-03-28 Connor Behan

The problem of electron decoherence at low temperature is analyzed from the perspective of recent experiments on decoherence rate measurement and on related localization phenomena in low-dimensional systems. Importance of decoherence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pritiraj Mohanty

The description of an open quantum system's decay almost always requires several approximations as to remain tractable. Here, we first revisit the meaning, domain and seeming contradictions of a few of the most widely used of such…

Quantum Physics · Physics 2021-06-02 Juliane Klatt , Chahan Michael Kropf , Stefan Yoshi Buhmann

Harnessing strong light-matter interactions to control chemical reactions in confined electromagnetic fields offers a promising route toward deepening our understanding of chemical dynamics at the collective quantum-mechanical level, with…

Chemical Physics · Physics 2026-01-21 Yaling Ke