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Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some…

量子物理 · 物理学 2021-01-04 A. Tobalina , E. Torrontegui , I. Lizuain , M. Palmero , J. G. Muga

We introduce a simple yet versatile protocol to inverse engineer the time-dependent Hamiltonian in two- and three level systems. In the protocol, by utilizing a universal SU(2) transformation, a given speedup goal can be obtained with large…

量子物理 · 物理学 2017-09-13 Bi-Hua Huang , Yi-Hao Kang , Ye-Hong Chen , Qi-Cheng Wu , Jie Song , Yan Xia

Invariant-based inverse engineering is an elegant approach to quantum control with corresponding experimental implementations that perform tasks with applications in quantum information processing such as shuttling trapped ions. We build on…

量子物理 · 物理学 2021-12-30 Selwyn Simsek , Florian Mintert

By performing a slow adiabatic change between two traps of a quantum particle, it is possible to transform an eigenstate of the original trap into the corresponding eigenstate of the final trap. If no level crossings are involved, the…

量子物理 · 物理学 2016-12-28 S. Martínez-Garaot , M. Palmero , J. G. Muga , D. Guéry-Odelin

We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum…

量子物理 · 物理学 2016-08-15 Yi-Hao Kang , Ye-Hong Chen , Qi-Cheng Wu , Bi-Hua Huang , Yan Xia , Jie Song

Quantum speed limits for two time-evolved states are introduced and applied to overlap between true dynamics and approximate dynamics. In particular, we point out that the present idea is suitable for invariant-based inverse engineering,…

量子物理 · 物理学 2023-02-01 Takuya Hatomura

We generalize the quantum adiabatic theorem to the non-Hermitian system and build a rigorous adiabaticity condition with respect to the adiabatic phase. The non-Hermitian Hamiltonian inverse engineering method is proposed for the purpose to…

量子物理 · 物理学 2016-11-30 Qi-Cheng Wu , Ye-Hong Chen , Bi-Hua Huang , Yan Xia , Jie Song

Hamiltonian inverse engineering enables the design of protocols for specific quantum evolutions or target state preparation. Perfect state transfer (PST) and remote entanglement generation are notable examples, as they serve as key…

We apply the inversely-engineered control method based on Lewis-Riesenfeld invariants to control mixed states of a two-level quantum system. We show that the inversely-engineered control passages of mixed states - and pure states as special…

量子物理 · 物理学 2012-01-27 Mohammad-Ali Fasihi , Yidun Wan , Mikio Nakahara

We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized…

量子物理 · 物理学 2019-10-23 I. Lizuain , A. Tobalina , A. Rodriguez-Prieto , J. G. Muga

Different methods have been recently put forward and implemented experimentally to inverse engineer the time dependent Hamiltonian of a quantum system and accelerate slow adiabatic processes via non-adiabatic shortcuts. In the…

量子物理 · 物理学 2011-08-08 Xi Chen , E. Torrontegui , J. G. Muga

We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations than…

量子物理 · 物理学 2015-06-18 E. Torrontegui , S. Martínez-Garaot , J. G. Muga

A non-relativistic system such as an ultracold trapped ion may perform a quantum simulation of a Dirac equation dynamics under specific conditions. The resulting Hamiltonian and dynamics are highly controllable, but the coupling between…

量子物理 · 物理学 2017-02-24 Xue-Ke Song , Fu-Guo Deng , Lucas Lamata , J. G. Muga

In this paper we build on the ideas presented in previous works for perfectly transferring a quantum state between opposite ends of a spin chain using a fixed Hamiltonian. While all previous studies have concentrated on nearest-neighbor…

量子物理 · 物理学 2007-05-23 Alastair Kay

Accurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process,…

We propose a method to manipulate, possibly faster than adiabatically, four-level systems with time-dependent couplings and constant energy shifts (detunings in quantum-optical realizations). We inversely engineer the Hamiltonian, in…

量子物理 · 物理学 2018-01-24 Y. - C. Li , D. Martínez , S. Martínez-Garaot , X. Chen , J. G. Muga

Speeding up adiabatic method has attracted much attention with the wide applications in quantum information processing. In this paper, two kinds of methods, Lewis-Riesenfeld invariant-based inverse engineering and transitionless quantum…

量子物理 · 物理学 2017-03-24 Feng-Yang Zhang , Wen-Lin Li , Yan Xia

This work presents an exactly soluble scheme to address the problem of optimal transfer of quantum states through a set of $s$ harmonic oscillators composing a network with connected ends as a closed quantum circuit. For this purpose we…

量子物理 · 物理学 2014-07-18 Dirceu Portes , Hilario Rodrigues , Sergio B. Duarte , Basilio Baseia

Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the emblematic strongly correlated quantum Hall regime. The routes followed so far essentially rely on thermodynamics, i.e. imposing the proper…

量子气体 · 物理学 2012-08-31 Marco Roncaglia , Matteo Rizzi , Jean Dalibard

Quantum control in large dimensional Hilbert spaces is essential for realizing the power of quantum information processing. For closed quantum systems the relevant input/output maps are unitary transformations, and the fundamental challenge…

量子物理 · 物理学 2014-10-17 B. E. Anderson , H. Sosa-Martinez , C. A. Riofrío , I. H. Deutsch , P. S. Jessen
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