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We study a class of quantum two-dimensional models with complex potentials of specific form. They can be considered as the generalization of a recently studied model with quadratic interaction not amenable to conventional separation of…

Mathematical Physics · Physics 2015-06-05 F. Cannata , M. V. Ioffe , D. N. Nishnianidze

We present QFAST, a quantum synthesis tool designed to produce short circuits and to scale well in practice. Our contributions are: 1) a novel representation of circuits able to encode placement and topology; 2) a hierarchical approach with…

Quantum Physics · Physics 2020-03-27 Ed Younis , Koushik Sen , Katherine Yelick , Costin Iancu

By using transitionless quantum driving algorithm (TQDA), we present an efficient scheme for the shortcuts to the holonomic quantum computation (HQC). It works in decoherence-free subspace (DFS) and the adiabatic process can be speeded up…

Quantum Physics · Physics 2016-02-17 Xue-Ke Song , Hao Zhang , Qing Ai , Jing Qiu , Fu-Guo Deng

As an application of the classically decayable correlation in a quantum chaos system maintained over an extremely long time-scale (Matsui et al, Europhys.Lett. 113(2016),40008), we propose a minimal model of quantum damper composed of a…

Statistical Mechanics · Physics 2018-07-20 Fumihiro Matsui , Hiroaki S. Yamada , Kensuke S. Ikeda

A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final state that would result from an adiabatic, infinitely slow process. A powerful technique to engineer such shortcuts relies on the use of…

Quantum Physics · Physics 2014-04-24 Sebastian Deffner , Christopher Jarzynski , Adolfo del Campo

The method of adiabatic frequency conversion, in analogy with the two level atomic system, has been put forward recently and verified experimentally to achieve robust frequency mixing processes such as sum and difference frequency…

Quantum Physics · Physics 2026-01-01 Koushik Paul , Qian Kong , Xi Chen

We investigate a quantum mechanical system on a noncommutative space for which the structure constant is explicitly time-dependent. Any autonomous Hamiltonian on such a space acquires a time-dependent form in terms of the conventional…

Quantum Physics · Physics 2014-10-15 Sanjib Dey , Andreas Fring

The "Lewis-Riesenfeld phases" which plays a crucial role in constructing shortcuts to adiabaticity may be a resource for the implementation of quantum phase gates. By combining "Lewis-Riesenfeld invariant" with "quantum Zeno dynamics", we…

Quantum Physics · Physics 2015-05-19 Ye-Hong Chen , Yan Xia , Qing-Qin Chen , Jie Song

A $\textit{shortcut to adiabaticity}$ is a recipe for generating adiabatic evolution at an arbitrary pace. Shortcuts have been developed for quantum, classical and (most recently) stochastic dynamics. A shortcut might involve a…

Quantum Physics · Physics 2017-10-30 Ayoti Patra , Christopher Jarzynski

Adiabaticity is a key concept in physics, but its applications in mechanical and control engineering remain underexplored. Adiabatic invariants ensure robust dynamics under slow changes, but they impose impractical time limitations.…

Classical Physics · Physics 2026-05-28 I. Lizuain , A. Tobalina , A. Rodriguez-Prieto

Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the…

Quantum Physics · Physics 2017-12-19 Alan C. Santos , Marcelo S. Sarandy

Adiabatic approximations are a powerful tool for simplifying nonlinear quantum dynamics, and are applicable whenever a system exhibits a hierarchy of time scales. Current interest in small nonlinear quantum systems, such as few-mode…

Quantum Gases · Physics 2012-05-15 M. P. Strzys , J. R. Anglin

This is the second paper in a series of four in which we use space adiabatic methods in order to incorporate backreactions among the homogeneous and between the homogeneous and inhomogeneous degrees of freedom in quantum cosmological…

General Relativity and Quantum Cosmology · Physics 2019-06-20 J. Neuser , S. Schander , T. Thiemann

A Charged harmonic oscillator in a magnetic field, Landau problems, and an oscillator in a noncommutative space, share the same mathematical structure in their Hamiltonians. We have considered a two-dimensional anisotropic harmonic…

Quantum Physics · Physics 2023-04-26 Pinaki Patra

In this work we derive novel ultrafast shortcuts for adiabatic rapid passage for a qubit where the only control variable is the longitudinal $z$-field, while the transverse $x$-field remains constant. This restrictive framework is pertinent…

Quantum Physics · Physics 2019-07-24 Dionisis Stefanatos , Emmanuel Paspalakis

The holomorphic Coulomb gas formalism is a set of rules for computing minimal model observables using free field techniques. We attempt to derive and clarify these rules using standard techniques of QFT. We begin with a careful examination…

High Energy Physics - Theory · Physics 2021-11-10 Daniel Kapec , Raghu Mahajan

A dc current induced in a quantum constriction by a traveling acoustic wave (or by non-equilibrium ballistic phonons) is considered. We show that in many important situations the effect is originated from acoustically-induced scattering…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Frank A. Maao , Y. Galperin

This work is devoted to the causal perturbative Quantum Field Theory (QFT) due to Bogoliubov, including QED and other realistic QFT. It is given the white noise formulation of this theory. The white noise analysis and the Hida operators as…

Mathematical Physics · Physics 2024-11-04 Jaroslaw Wawrzycki

We focus on the optimization of neutral atom transport and transfer between optical tweezers, both critical steps towards the implementation of quantum processors and simulators. We consider four different types of experimentally relevant…

The need for fast and robust quantum state transfer is an essential element in scalable quantum information processing, leading to widespread interest in shortcuts to adiabaticity for speeding up adiabatic quantum protocols. However,…

Quantum Physics · Physics 2024-09-25 Jian Xu , Feng Mei , Yan-Qing Zhu
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