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We show that the Aharonov-Bohm effect finds a natural description in the setting of QFT on curved spacetimes in terms of superselection sectors of local observables. The extension of the analysis of superselection sectors from Minkowski…

Mathematical Physics · Physics 2020-12-02 Claudio Dappiaggi , Giuseppe Ruzzi , Ezio Vasselli

The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of…

High Energy Physics - Theory · Physics 2009-10-28 Hoi-Kwong Lo

Magnetic oscillations of Dirac surface states of topological insulators are expected to be associated with the formation of Landau levels or the Aharonov-Bohm effect. We instead study the conductance of Dirac surface states subjected to an…

The interplay of $\pi$-flux and lattice geometry can yield full localization of quantum dynamics in lattice systems, a striking interference phenomenon known as Aharonov-Bohm caging. At the level of the single-particle energy spectrum, this…

Quantum Gases · Physics 2019-10-30 Marco Di Liberto , Sebabrata Mukherjee , Nathan Goldman

This study investigates non-adiabatic wave dynamics in condensed media and the transition from adiabatic stability to spectral chaos. We introduce a dimensionless parameter, as a universal metric to quantify phase-mode redistribution at…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 A. M. Tishin

We investigate the adiabatic evolution of light in nonlinear waveguide couplers via resonance-locked inverse engineering based on stimulated Raman adiabatic passage (STIRAP). The longitudinal varying detunings of the propagation…

Optics · Physics 2023-07-14 Fu-Quan Dou , Ya-Ting Wei , Zhi-Ming Yan

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

We point out an inconsistency in a method used in the literature for studying adiabatic scalar perturbations in a regular bouncing universe (in four dimensions). The method under scrutiny consists of splitting the Bardeen potential into two…

High Energy Physics - Theory · Physics 2013-05-29 Ghazal Geshnizjani , Thorsten J. Battefeld

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…

Quantum Gases · Physics 2020-08-24 Marija Todorić , Bruno Klajn , Dario Jukić , Hrvoje Buljan

A qubit driven by two incommensurate frequencies can mediate a quantised average energy current in the adiabatic limit. We show that non-adiabatic processes result in reversals of the energy current and corresponding oscillations in the net…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Dominik Vuina , David M. Long , Phillip J. D. Crowley , Anushya Chandran

The Coulomb interaction among massless Dirac fermions in graphene is unscreened around the isotropic Dirac points, causing a logarithmic velocity renormalization and a cone reshaping. In less symmetric Dirac materials possessing anisotropic…

We report on previously overlooked solutions of the usual gauge transformation equations that exhibit a new form of nonlocal quantal behavior with the well-known Relativistic Causality of classical fields affecting directly the phases of…

Quantum Physics · Physics 2010-11-18 Konstantinos Moulopoulos

Ab initio modeling of conical intersection dynamics is crucial for various photochemical, photophysical, and biological processes. However, adiabatic electronic states obtained from electronic structure computations involve random phases,…

Chemical Physics · Physics 2024-06-13 Xiaotong Zhu , Bing Gu

We report the experimental observation of tunable, non-reciprocal quantum transport of a Bose-Einstein condensate in a momentum lattice. By implementing a dissipative Aharonov-Bohm (AB) ring in momentum space and sending atoms through it,…

Quantum Gases · Physics 2020-02-26 Wei Gou , Tao Chen , Dizhou Xie , Teng Xiao , Tian-Shu Deng , Bryce Gadway , Wei Yi , Bo Yan

Mathematically, topological invariants arise from the parallel transport of eigenstates on the energy bands, which, in physics, correspond to the adiabatic dynamical evolution of transient states. It determines the presence of boundary…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Zhao-Xian Chen , Yuan-hong Zhang , Xiao-Chen Sun , Ruo-Yang Zhang , Jiang-Shan Tang , Xin Yang , Xue-Feng Zhu , Yan-Qing Lu

We revisit the time-adiabatic theorem of quantum mechanics and show that it can be extended to weakly nonlinear situations, that is to nonlinear Schroedinger equations in which either the nonlinear coupling constant or, equivalently, the…

Mathematical Physics · Physics 2015-02-25 Christof Sparber

Based on the adiabatic geometric phase concerning with density matrix[1] , we extend it to the sub-geometric phase in the non-adiabatic case. It is found that whatever the real part or imaginary part of the sub-geometric phase can play an…

Quantum Physics · Physics 2024-05-20 Zheng-Chuan Wang

Periodicity of long wavelength moir\'e patterns is very often destroyed by the inhomogeneous strain introduced in fabrications of van der Waals layered structures. We present a framework to describe massive Dirac fermions in such distorted…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Dawei Zhai , Wang Yao

We consider performing adiabatic rapid passage (ARP) using frequency-swept driving pulses to excite a collection of interacting two-level systems. Such a model arises in a wide range of many-body quantum systems, such as cavity QED or…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 R. T. Brierley , C. Creatore , P. B. Littlewood , P. R. Eastham

Hot spot of Berry curvature is usually found at Bloch band anti-crossings, where the Hall effect due to the Berry phase can be most pronounced. With small gaps there, the adiabatic limit for the existing formulations of Hall current can be…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Matisse Wei-Yuan Tu , Ci Li , Hongyi Yu , Wang Yao
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