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A quantized fermion can be represented by a scalar particle encircling a magnetic flux line. It has the spinor structure which can be constructed from quantum gates and qubits. We have studied here the role of Berry phase in removing…

量子物理 · 物理学 2015-06-26 D. Banerjee , P. Bandyopadhyay

We study a system of strongly interacting one-dimensional (1D) bosons on a ring pierced by a synthetic magnetic flux tube. By the Fermi-Bose mapping, this system is related to the system of spin-polarized non-interacting electrons confined…

量子气体 · 物理学 2020-08-24 Marija Todorić , Bruno Klajn , Dario Jukić , Hrvoje Buljan

We have found a manifestation of spin-orbit Berry phase in the conductance of a mesoscopic loop with Rashba spin-orbit coupling placed in an external magnetic field perpendicular to the loop plane. In detail, the transmission probabilities…

介观与纳米尺度物理 · 物理学 2009-11-11 Maxim P. Trushin , Alexander L. Chudnovskiy

In the presence of spin-orbit coupling and inversion symmetry of the lateral confinement potential a single electron does not exhibit matrix Berry phases in quasi-two-dimensional semiconductor quantum dots. In such a system we investigate…

介观与纳米尺度物理 · 物理学 2008-10-03 S. C. Kim , Y. J. Kim , P. S. Park , N. Y. Hwang , S. -R. Eric Yang

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

量子物理 · 物理学 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We study the connection between Berry phases and quantum phase transitions of generic quantum many-body systems. Consider sequences of Berry phases associated to sequences of loops in the parameter space whose limit is a point. If the…

量子物理 · 物理学 2007-05-23 Alioscia Hamma

We formulate the non-Abelian Berry connection (tensor $\mathbb R$) and phase (matrix $\boldsymbol \Gamma$) for a multiband system and apply them to semiconductor holes under the coexistence of Rashba and Dresselhaus spin-orbit interactions.…

介观与纳米尺度物理 · 物理学 2023-12-05 Tatsuki Tojo , Kyozaburo Takeda

When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing---a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum…

高能物理 - 理论 · 物理学 2017-07-26 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

统计力学 · 物理学 2012-05-11 V. Gritsev , A. Polkovnikov

Extremely fast qubit controls can greatly reduce the calculation time in quantum computation, and potentially resolve the finite-time decoherence issues in many physical systems. Here, we propose and experimentally demonstrate pico-second…

量子物理 · 物理学 2020-04-29 Yunheung Song , Jongseok Lim , Jaewook Ahn

We calculate Berry's phase when the driving field, to which a spin-1/2 is coupled adiabatically, rather than the familiar classical magnetic field, is a quantum vector operator, of noncommuting, in general, components, e.g., the angular…

量子物理 · 物理学 2016-09-14 Pedro Aguilar , Chryssomalis Chryssomalakos , Edgar Guzman

We predict that a strong nonreciprocity in the resonance spectra of Dirac quantum dots can be induced by the Berry phase. The nonreciprocity arises in relatively weak magnetic fields and is manifest in anomalously large field-induced…

介观与纳米尺度物理 · 物理学 2016-12-23 Joaquin F. Rodriguez-Nieva , Leonid S. Levitov

We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized…

量子物理 · 物理学 2020-06-12 C. A. Estrada Guerra , J. Mahecha-Gómez , J. G. Hirsch

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

介观与纳米尺度物理 · 物理学 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the…

介观与纳米尺度物理 · 物理学 2009-11-07 J. Goryo , M. Kohmoto

Gate-based quantum computers can in principle simulate the adiabatic dynamics of a large class of Hamiltonians. Here we consider the cyclic adiabatic evolution of a parameter in the Hamiltonian. We propose a quantum algorithm to estimate…

量子物理 · 物理学 2020-02-19 Bruno Murta , G. Catarina , J. Fernandez-Rossier

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

介观与纳米尺度物理 · 物理学 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We consider a system with spin-orbit coupling and derive equations of motion which include the effects of Berry curvatures. We apply these equations to investigate the dynamics of particles with equal Rashba-Dresselhaus spin-orbit coupling…

量子气体 · 物理学 2017-04-19 J. Armaitis , J. Ruseckas , E. Anisimovas

Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key…

介观与纳米尺度物理 · 物理学 2014-01-17 Fan Yang , Ren-Bao Liu

We calculate the Berry phase of a spin-1/2 particle in a magnetic field considering the quantum nature of the field. The phase reduces to the standard Berry phase in the semiclassical limit and eigenstate of the particle acquires a phase in…

量子物理 · 物理学 2011-07-19 I. Fuentes-Guridi , A. Carollo , S. Bose , V. Vedral