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We propose an adiabatic method for optimal phonon temperature estimation using trapped ions which can be operated beyond the Lamb-Dicke regime. The quantum sensing technique relies on a time-dependent red-sideband transition of phonon…

量子物理 · 物理学 2021-03-24 Aleksandrina V. Kirkova , Weibin Li , Peter A. Ivanov

We investigate two well-known approaches for extending the fewest switches surface hopping (FSSH) algorithm to periodic time-dependent couplings. The first formalism acts as if the instantaneous adiabatic electronic states were standard…

化学物理 · 物理学 2019-10-07 Zeyu Zhou , Hsing-Ta Chen , Abraham Nitzan , Joseph Eli Subotnik

Coherent tunneling by adiabatic passage (CTAP) is a well-established technique for robust spatial transport of quantum particles in linear chains. Here we introduce two exactly-solvable models where the CTAP protocol can be extended to…

量子物理 · 物理学 2015-06-19 Stefano Longhi

We develop a Floquet approach to solve time-periodic quantum Langevin equations in steady state. We show that two-time correlation functions of system operators can be expanded in a Fourier series and that a generalized Wiener-Khinchin…

介观与纳米尺度物理 · 物理学 2016-08-10 Daniel Malz , Andreas Nunnenkamp

This paper presents some absorbing boundary conditions (ABC) for simulations based on the time-dependent density-functional theory (TDDFT). The boundary conditions are expressed in terms of the elements of the density-matrix, and it is…

数值分析 · 数学 2019-05-01 Xiantao Li

As first proposed for the adiabatic quantum information processing by Wu, Byrd and Lidar [ Phys. Rev. Lett. 89, 057904 (2002)], the Trotterization technique is a very useful tool for universal quantum computing, and in particular, the…

量子物理 · 物理学 2018-06-05 Yin Sun , Jun-Yi Zhang , Mark S. Byrd , Lian-Ao Wu

We present calculations for the action of laser pulses on vibrational transfer within the H2+ and Na2 molecules in the presence of dissipation due to photodissociation of the molecule. The laser fields perform closed loops surrounding…

量子物理 · 物理学 2013-06-28 Arnaud Leclerc , Georges Jolicard , John P. Killingbeck

We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach…

材料科学 · 物理学 2025-03-10 S. Sajad Dabiri , Reza Asgari

A Floquet scattering approach to parametric electron pumps is presented and compared with Brouwer's adiabatic scattering approach [Phys. Rev. B 58, R10135 (1998)] for a simple scattering model with two harmonically oscillating…

介观与纳米尺度物理 · 物理学 2009-11-07 Sang Wook Kim

We prove an adiabatic theorem that applies at timescales short of the typical adiabatic limit. Our proof analyzes the stability of solutions to Schrodinger's equation under perturbation. We directly characterize cross-subspace effects of…

量子物理 · 物理学 2024-10-21 Jacob Bringewatt , Michael Jarret , T. C. Mooney

We describe a simple quantum algorithm to simulate time-dependent Hamiltonian, extending the methodology of quantum signal processing. The framework achieves optimal scaling up to some factor with respect to other parameters, and nearly…

量子物理 · 物理学 2025-03-11 Nhat A. Nghiem

We present a general method to calculate the quasi-stationary state of a driven-dissipative system coupled to a transmission line (and more generally, to a reservoir) under periodic modulation of its parameters. Using Floquet's theorem, we…

Theoretical treatments of strong-field physics have long relied on the numerical solution of the time-dependent Schr\"odinger equation. The most effective such treatments utilize a discrete spatial representation---a grid. Since most…

计算物理 · 物理学 2018-05-09 Youliang Yu , B. D. Esry

We give a mathematical procedure to obtain the adiabatic approximation for the generalized quantum Rabi Hamiltonian both without and with a quadratic interaction. We consider the Hamiltonian as the energy of a model describing the…

量子物理 · 物理学 2018-09-19 Masao Hirokawa

We show that by a suitable choice of a time dependent Hamiltonian, Deutsch's algorithm can be implemented by an adiabatic quantum computer. We extend our analysis to the Deutsch-Jozsa problem and estimate the required running time for both…

量子物理 · 物理学 2009-11-07 Saurya Das , Randy Kobes , Gabor Kunstatter

The dynamics of qubits coupled to a harmonic oscillator with time-periodic coupling is investigated in the framework of Floquet theory. This system can be used to model nonadiabatic phenomena that require a periodic modulation of the…

量子物理 · 物理学 2021-01-01 Mirko Amico , Roman Ya. Kezerashvili

We present a Floquet scheme for the ab-initio calculation of nonlinear optical properties in extended systems. This entails a reformulation of the real-time approach based on the dynamical Berry-phase polarisation [Attaccalite & Gr\"uning,…

材料科学 · 物理学 2023-04-11 Ignacio M. Alliati , Myrta Grüning

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

强关联电子 · 物理学 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

We control the current of a single particle quantum ratchet by designing ramping schemes for experimentally accessible control parameters. We harvest on Landau-Zener transitions between Floquet states. Adiabatic and diabatic ramping allow…

其他凝聚态物理 · 物理学 2009-11-13 L. Morales-Molina , S. Flach , J. B. Gong

The dynamics of a closed quantum system is often studied with the direct evolution of the Schrodinger equation. In this paper, we propose that the gauge choice (i.e. degrees of freedom irrelevant to physical observables) of the Schrodinger…

数值分析 · 数学 2020-02-20 Dong An , Lin Lin