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We consider an inhomogeneous quantum phase transition across a multicritical point of the XY quantum spin chain. This is an example of a Lifshitz transition with a dynamical exponent z = 2. Just like in the case z = 1 considered in New J.…

统计力学 · 物理学 2010-10-28 Jacek Dziarmaga , Marek M. Rams

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…

量子物理 · 物理学 2025-02-26 Ashwin Murali , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

We review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control…

量子物理 · 物理学 2024-02-08 Francesco Petiziol , Florian Mintert , Sandro Wimberger

Adiabatic quantum computation employs a slow change of a time-dependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps to keep the system in the instantaneous ground state. When the…

量子物理 · 物理学 2014-06-26 Constantin Brif , Matthew D. Grace , Mohan Sarovar , Kevin C. Young

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…

量子物理 · 物理学 2014-12-08 Hamed Saberi , Tomáš Opatrný , Klaus Mølmer , Adolfo del Campo

Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport,…

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

量子物理 · 物理学 2024-10-28 Jonas F. G. Santos

The design of quantum control methods has been shown to greatly improve the performance of many evolving quantum technologies. To this end, the usage of adiabatic dynamics to drive quantum systems is seriously limited by the action of…

量子物理 · 物理学 2020-02-12 Bertúlio de Lima Bernardo

Controlling the non adiabatic dynamics of isolated quantum systems driven through a critical point is of interest in a variety of fields ranging from quantum simulation to finite-time thermodynamics. We briefly review the different methods…

强关联电子 · 物理学 2015-02-10 A. del Campo , K. Sengupta

We propose a quantum-state transfer protocol in a spin chain that requires only the control of the spins at the ends of the quantum wire. The protocol is to a large extent insensitive to inhomogeneity caused by local magnetic fields and…

量子物理 · 物理学 2014-06-04 Kamil Korzekwa , Paweł Machnikowski , Paweł Horodecki

In this thesis, it is presented a set of results in adiabatic dynamics (closed and open system) and transitionless quantum driving that promote some advances in our understanding on quantum control and Hamiltonian inverse engineering. In…

量子物理 · 物理学 2021-07-27 Alan C. Santos

We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters…

量子物理 · 物理学 2018-10-22 Masoud Mohseni , Johan Strumpfer , Marek M. Rams

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…

量子物理 · 物理学 2025-01-22 Yuta Shingu , Takuya Hatomura

We argue that in a second order quantum phase transition driven by an inhomogeneous quench density of quasiparticle excitations is suppressed when velocity at which a critical point propagates across a system falls below a threshold…

量子物理 · 物理学 2015-05-13 Jacek Dziarmaga , Marek M. Rams

We propose a simple construction of shortcuts to adiabaticity tracking instantaneous stationary states in classical spin systems without knowing tracked stationary states. In our construction, control fields of counter-diabatic driving are…

量子物理 · 物理学 2018-09-28 Takuya Hatomura , Takashi Mori

Quantum annealers are special-purpose quantum computers that primarily target solving Ising optimization problems. Theoretical work has predicted that the probability of a quantum annealer ending in a ground state can be dramatically…

量子物理 · 物理学 2018-11-20 Juan I. Adame , Peter L. McMahon

It is well known that the dynamics of a quantum system is always non-adiabatic in passage through a quantum critical point and the defect density in the final state following a quench shows a power-law scaling with the rate of quenching.…

统计力学 · 物理学 2015-05-13 Debanjan Chowdhury , Uma Divakaran , Amit Dutta

We explore nonadiabatic quantum phase transitions in an Ising spin chain with a linearly time-dependent transverse field and two different spins per unit cell. Such a spin system passes through critical points with gapless excitations,…

统计力学 · 物理学 2021-02-23 Bin Yan , Vladimir Y. Chernyak , Wojciech H. Zurek , Nikolai A. Sinitsyn

We study the adiabatic approximation of the dynamics of a bipartite quantum system with respect to one of the components, when the coupling between its two components is perturbative. We show that the density matrix of the considered…

数学物理 · 物理学 2015-06-22 David Viennot , Lucile Aubourg

Using the adiabatic perturbation theory of driven dynamics [Phys. Rev. A 78, 052508 (2008)] we design a hierarchy of quantum state preparation protocols that systematically increase the fidelity at very long driving times. We test these and…

量子物理 · 物理学 2023-02-01 Felipe Matus , Jan Střeleček , Pavel Stránský , Pavel Cejnar
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