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We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving…

Quantum Physics · Physics 2015-05-05 Steve Campbell , Gabriele De Chiara , Mauro Paternostro , G. Massimo Palma , Rosario Fazio

We analyze the control of the motion of a charged particle by means of an external electric field. The system is constrained to move along a given direction. The goal of the control is to change the speed of the particle in a fixed time…

Optimization and Control · Mathematics 2020-01-22 V. Martikyan , D. Guéry-Odelin , D. Sugny

Fast nonadiabatic control protocols known as shortcuts to adiabaticity have found a plethora of applications, but their use has been severely limited to speeding up the dynamics of isolated quantum systems. We introduce shortcuts for open…

Quantum Physics · Physics 2020-08-06 L. Dupays , I. L. Egusquiza , A. del Campo , A. Chenu

We propose how to engineer the longitudinal coupling to accelerate the measurement of a qubit longitudinally coupled to a cavity, motivated by the concept of shortcuts to adiabaticity. Different modulations are inversely designed from two…

Quantum Physics · Physics 2022-09-09 F. A. Cárdenas-López , Xi Chen

Suppression of diabatic transitions in quantum adiabatic evolution stands as a significant challenge for ground state preparations. Counterdiabatic driving has been proposed to compensate for diabatic losses and achieve shortcut to…

Quantum Physics · Physics 2024-03-05 Changhao Li , Jiayu Shen , Ruslan Shaydulin , Marco Pistoia

We apply the method of shortcuts to adiabaticity to nonequilibrium systems. For unitary dynamics, the system Hamiltonian is separated into two parts. One of them defines the adiabatic states for the state to follow and the nonadiabatic…

Statistical Mechanics · Physics 2017-11-27 Kazutaka Takahashi

The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body…

Quantum Physics · Physics 2014-12-08 Hamed Saberi , Tomáš Opatrný , Klaus Mølmer , Adolfo del Campo

Quantum state transformations that are robust to experimental imperfections are important for applications in quantum information science and quantum sensing. Counterdiabatic (CD) approaches, which use knowledge of the underlying system…

Quantum Gases · Physics 2020-11-10 Eric J. Meier , Kinfung Ngan , Dries Sels , Bryce Gadway

We present a method for accelerating adiabatic protocols for systems involving a coupling to a continuum, one that cancels both non-adiabatic errors as well as errors due to dissipation. We focus on applications to a generic quantum state…

Quantum Physics · Physics 2017-11-07 Alexandre Baksic , Ron Belyansky , Hugo Ribeiro , Aashish A. Clerk

Using shortcuts to adiabaticity, we solve the time-dependent Schroedinger equation that is reduced to a classical nonlinear integrable equation. For a given time-dependent Hamiltonian, the counterdiabatic term is introduced to prevent…

Quantum Physics · Physics 2016-08-17 Manaka Okuyama , Kazutaka Takahashi

We propose a method to transfer the population and control the state of two-level and three-level atoms speeding-up Adiabatic Passage techniques while keeping their robustness versus parameter variations. The method is based on…

Quantum Physics · Physics 2010-09-20 Xi Chen , I. Lizuain , A. Ruschhaupt , D. Guery-Odelin , J. G. Muga

We use optimal control theory to obtain shortcuts to adiabaticity which maximize population transfer in a three-level STIRAP system, for a given finite duration of the process and specified dissipation rate at the intermediate state. We fix…

Quantum Physics · Physics 2022-12-27 Dionisis Stefanatos , Emmanuel Paspalakis

In noisy quantum systems, achieving high-fidelity state preparation using the adiabatic approach faces a dilemma: either extending the evolution time to reduce diabatic transitions or shortening it to mitigate decoherence effects. Here, we…

Quantum Physics · Physics 2024-08-28 Kang Cai , Prabin Parajuli , Anuvetha Govindarajan , Lin Tian

Local counterdiabatic driving (CD) provides a feasible approach for realizing approximate reversible/adiabatic processes like quantum state preparation using only local controls and without demanding excessively long protocol times.…

Quantum Physics · Physics 2024-09-10 Stewart Morawetz , Anatoli Polkovnikov

Adiabatic control is a fundamental technique for manipulating quantum systems, guided by the quantum adiabatic theorem, which ensures suppressed nonadiabatic transitions under slow parameter variations. Quantum annealing, a heuristic…

Quantum Physics · Physics 2025-01-22 Yuta Shingu , Takuya Hatomura

Fast quasi-adiabatic driving (FAQUAD) is a central technique in shortcuts to adiabaticity (STA), enabling accelerated adiabatic evolution by optimizing the rate of change of a single control parameter. However, many realistic systems are…

Applied Physics · Physics 2025-11-04 Dong Liu , Yiran Hao , Jensen Li

Adiabatic protocols are often employed in state preparation schemes but require the system to be driven by a slowly varying Hamiltonian so that transitions between instantaneous eigenstates are exponentially suppressed. Counterdiabatic…

Quantum Physics · Physics 2024-03-20 Callum W. Duncan

Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems…

Quantum Physics · Physics 2018-08-09 C. W. Duncan , A. del Campo

We analyze the validity of the adiabatic approximation, and in particular the reliability of what has been called the "standard criterion" for validity of this approximation. Recently, this criterion has been found to be insufficient. We…

Quantum Physics · Physics 2007-10-30 R. MacKenzie , A. Morin-Duchesne , H. Paquette , J. Pinel

We consider a periodically driven system where the high-frequency driving protocol consists of a sequence of potentials switched on and off at different instants within a period. We explore the possibility of introducing an adiabatic…

Quantum Physics · Physics 2025-02-26 Ashwin Murali , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay