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The quantum harmonic oscillator is one of the most fundamental objects in physics. We consider the case where it is extended to an arbitrary number modes and includes all possible terms that are bilinear in the annihilation and creation…

Quantum Physics · Physics 2024-01-26 Mattias T. Johnsson , Daniel Burgarth

We investigate the consequences of space-time being curved on space-based quantum communication protocols. We analyze tasks that require either the exchange of single photons in a certain entanglement distribution protocol or beams of light…

Quantum Physics · Physics 2014-10-24 David Edward Bruschi , Tim Ralph , Ivette Fuentes , Thomas Jennewein , Mohsen Razavi

We introduce a framework to study the emergence of time and causal structure in quantum many-body systems. In doing so, we consider quantum states which encode spacetime dynamics, and develop information theoretic tools to extract the…

High Energy Physics - Theory · Physics 2019-11-25 Jordan Cotler , Xizhi Han , Xiao-Liang Qi , Zhao Yang

We study the dynamical Casimir effect in the presence of a finite coherence time, which is associated with a finite quality factor of the optical cavity. We use the time refraction model, where a fixed cavity with a modulated optical…

Quantum Physics · Physics 2015-05-20 J. T. Mendonca , G. Brodin , M. Marklund

We review the theory of quantum fields propagating in an arbitrary, classical, globally hyperbolic spacetime. Our review emphasizes the conceptual issues arising in the formulation of the theory and presents known results in a…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Stefan Hollands , Robert M. Wald

We study the phase space of periodically modulated gravitational cavity by means of quantum recurrence phenomena. We report that the quantum recurrences serve as a tool to connect phase space of the driven system with spectrum in quantum…

Quantum Physics · Physics 2009-11-06 Farhan Saif

The tunnelling of virtual matter-antimatter pairs from the quantum vacuum in multidimensions is studied. We consider electric backgrounds as a linear combination of a spatial Sauter field and, interchangeably, certain weaker time dependent…

High Energy Physics - Theory · Physics 2017-12-06 Ibrahim Akal , Gudrid Moortgat-Pick

We study some basic quantum confinement effects through investigation a deformed harmonic oscillator algebra. We show that spatial confinement effects on a quantum harmonic oscillator can be represented by a deformation function within the…

Quantum Physics · Physics 2009-05-20 M. Bagheri Harouni , R. Roknizadeh , M. H. Naderi

We report broadband characterization of the propagation of light through a multiply scattering medium by means of its Multi-Spectral Transmission Matrix. Using a single spatial light modulator, our approach enables the full control of both…

A new mathematical and computational technique for calculating quantum vacuum expectation values of energy and momentum densities associated with electromagnetic fields in bounded domains containing inhomogeneous media is discussed. This…

Quantum Physics · Physics 2011-07-11 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

We develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function,…

Quantum Physics · Physics 2013-03-13 J. Martinez-Carranza , F. Soto-Eguibar , H. Moya-Cessa

Given its well known spectral decomposition profile, the $1$-dim harmonic oscillator potential modified by an inverse square ($1$-dim angular momentum-like) contribution works as an efficient platform for probing classical and quantum…

Quantum Physics · Physics 2020-09-18 Alex E. Bernardini , Caio Fernando e Silva

It has long been known that there exists a coordinate transformation which exactly maps the quantum free particle to the quantum harmonic oscillator. Here we extend this result by reformulating it as a unitary operation followed by a time…

Quantum Physics · Physics 2022-11-23 Gerard McCaul , Denys I. Bondar

Quantum computing has recently been emerging in theoretical chemistry as a realistic avenue meant to offer computational speedup to challenging eigenproblems in the context of strongly-correlated molecular systems or extended materials.…

Quantum Physics · Physics 2026-03-05 Joachim Knapik , Bruno Senjean , Benjamin Lasorne , Yohann Scribano

There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes designed to…

Quantum Physics · Physics 2010-11-08 Xi Chen , J. G. Muga

The ability to generate particles from the quantum vacuum is one of the most profound consequences of Heisenberg's uncertainty principle. Although the significance of vacuum fluctuations can be seen throughout physics, the experimental…

Quantum Physics · Physics 2012-01-13 P. D. Nation , J. R. Johansson , M. P. Blencowe , Franco Nori

We investigate optical nonlinear interactions in a dynamic environment by studying generation of photons in spontaneous parametric down conversion inside a nonlinear cavity where the optical path length is periodically modulated in time. We…

Optics · Physics 2019-10-16 Usman A. Javid , Qiang Lin

We prove the possibility of achieving exponentially growing wave propagation in space-time modulated media and give an asymptotic analysis of the quasifrequencies in terms of the amplitude of the time modulation at the degenerate points of…

Analysis of PDEs · Mathematics 2022-06-30 Habib Ammari , Jinghao Cao , Xinmeng Zeng

We develop quantum-optical input-output theory for resonators with arbitrary coupling strength, and for input fields whose spectrum can be wider than the cavity free-spectral range, while ensuring that the field-operator commutator…

Quantum Physics · Physics 2015-06-17 M. G. Raymer , C. J. McKinstrie

We study the behaviour of a non-relativistic quantum particle interacting with different potentials, in the background spacetime generated by a cosmic string. We find the energy spectra for the quantum systems under consideration and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Geusa de A. Marques , V. B. Bezerra
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