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Controlling coherent interaction at avoided crossings is at the heart of quantum information processing. The regime between sudden switches and adiabatic transitions is characterized by quantum superpositions that enable interference…

介观与纳米尺度物理 · 物理学 2014-03-21 F. Forster , G. Petersen , S. Manus , P. Hänggi , D. Schuh , W. Wegscheider , S. Kohler , S. Ludwig

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap…

强关联电子 · 物理学 2015-05-27 R. Jafari

We present a detailed derivation of the master equation describing a general time-dependent quantum system with classical Poisson white noise and outline its various properties. We discuss the limiting cases of Poisson white noise and…

量子物理 · 物理学 2017-01-17 Anthony Kiely , J. Gonzalo Muga , Andreas Ruschhaupt

We study Landau-Zener transitions in a dissipative environment by means of the numerically exact quasiadiabatic propagator path-integral. It allows to cover the full range of the involved parameters. We discover a nonmonotonic dependence of…

介观与纳米尺度物理 · 物理学 2011-07-19 Peter Nalbach , Michael Thorwart

A typical goal of a quantum simulation is to find the energy levels and eigenstates of a given Hamiltonian. This can be realized by adiabatically varying the system control parameters to steer an initial eigenstate into the eigenstate of…

量子物理 · 物理学 2021-01-04 Gian Salis , Nikolaj Moll , Marco Roth , Marc Ganzhorn , Stefan Filipp

We study quantum dynamics of Grover's adiabatic search algorithm with the equivalent two-level system. Its adiabatic and non-adiabatic evolutions are visualized as trajectories of Bloch vectors on a Bloch sphere. We find the change in the…

量子物理 · 物理学 2020-05-28 Sangchul Oh , Sabre Kais

Transitions out of the ground space limit the performance of quantum adiabatic algorithms, while hardware imperfections impose stringent limitations on the circuit depth. We propose an adiabatic echo verification protocol which mitigates…

量子物理 · 物理学 2024-09-06 Benjamin F. Schiffer , Dyon van Vreumingen , Jordi Tura , Stefano Polla

We investigate the quantum effects, in particular the Landau-level quantization, in the scattering of a particle the nonadiabatic classical dynamics of which is governed by an adiabatic invariant. As a relevant example, we study the…

介观与纳米尺度物理 · 物理学 2009-11-07 F. Dahlem , F. Evers , A. D. Mirlin , D. G. Polyakov , P. Woelfle

A procedure for demonstrating quantum coherence and measuring decoherence times between different fluxoid states of a SQUID by using ``adiabatic inversion'' is discussed. One fluxoid state is smoothly transferred into the other, like a spin…

凝聚态物理 · 物理学 2007-05-23 P. Silvestrini , L. Stodolsky

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

Adiabaticity is a cornerstone of many promising approaches to quantum control, computing, and simulation. In practice, however, there is always a trade-off. Although the deleterious effects of noise can be diminished by running a control…

量子物理 · 物理学 2025-06-23 Pavel Zhelnin , Lucas Johns , Carlos A. Argüelles

The quantum speed limit specifies a universal bound of the fidelity between the initial state and the time-evolved state. We apply this method to find a bound of the fidelity between the adiabatic state and the time-evolved state. The bound…

量子物理 · 物理学 2020-07-22 Keisuke Suzuki , Kazutaka Takahashi

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

量子物理 · 物理学 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster

For the prototypical example of the Ising chain in a transverse field, we study the impact of decoherence on the sweep through a second-order quantum phase transition. Apart from the advance in the general understanding of the dynamics of…

量子物理 · 物理学 2007-09-17 Sarah Mostame , Gernot Schaller , Ralf Schützhold

An analytically solvable model for quasi-static transformations across quantum critical points featuring Bosonic quasi-particle excitations is presented. The model proves that adiabaticity breakdown is a general feature of universal slow…

量子物理 · 物理学 2021-08-11 Nicolò Defenu

We study Landau-Zener transitions in a dissipative environment by means of the quasiadiabatic propagator path-integral scheme. It allows to obtain numerically exact results for the full range of the involved parameters. We discover a…

统计力学 · 物理学 2012-05-08 P. Nalbach , M. Thorwart

The significance of topological phases has been widely recognized in the community of condensed matter physics. The well controllable quantum systems provide an artificial platform to probe and engineer various topological phases. The…

量子物理 · 物理学 2018-01-01 Tenghui Wang , Zhenxing Zhang , Liang Xiang , Zhihao Gong , Jianlan Wu , Yi Yin

Transitionless quantum driving, also known as counterdiabatic driving, is a unique shortcut technique to adiabaticity, enabling a fast-forward evolution to the same target quantum states as those in the adiabatic case. However, as nothing…

量子物理 · 物理学 2018-03-20 Zhen-Yu Xu , Wen-Long You , Yu-Li Dong , Chengjie Zhang , W. L. Yang

We provide rigorous bounds for the error of the adiabatic approximation of quantum mechanics under four sources of experimental error: perturbations in the initial condition, systematic time-dependent perturbations in the Hamiltonian,…

量子物理 · 物理学 2009-11-13 Michael J. O'Hara , Dianne P. O'Leary

We present a detailed analysis of the Landau-Zener problem for an interacting Bose-Einstein condensate in a time-varying double-well trap, especially focussing on the relation between the full many-particle problem and the mean-field…

量子物理 · 物理学 2010-10-04 F. Trimborn , D. Witthaut , V. Kegel , H. J. Korsch