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Related papers: Inequivalent Berry phases for the bulk polarizatio…

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We show that topological transitions in electronic spin transport are feasible by a controlled manipulation of spin-guiding fields. The transitions are determined by the topology of the fields texture through an effective Berry phase…

When generalized from plane waves to general vector beams, the notion of polarization described by the Stokes parameters turns out to be defined in a momentum-associated system that is fixed by the so-called Stratton vector. As the true…

Optics · Physics 2017-11-15 Chun-Fang Li

Berry's phase is investigated for ultracold atoms in a frequency modulated optical lattice. It is shown that Berry's phase appears due to Bloch oscillation and the periodic motion of the optical lattice. Particularly, Berry's phase for…

Quantum Gases · Physics 2010-09-21 C. Yuce

We demonstrate that the well-known expression for the charge magnetization of a sample with a non-zero Berry curvature can be obtained by demanding that the Einstein relation holds for the electric transport current. We extend this…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Archisman Panigrahi , Subroto Mukerjee

Liouville's theorem on the conservation of phase space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase space density of states, whose significance is discussed in…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Di Xiao , Junren Shi , Qian Niu

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

The Berry phase can be obtained by taking the continuous limit of a cyclic product $-\mbox{Im} \ln \prod_{I=0}^{M-1} \langle \Psi_0({\boldsymbol \xi}_I)|\Psi_0({\boldsymbol \xi}_{I+1})\rangle$, resulting in the circuit integral $i \oint…

Mathematical Physics · Physics 2014-03-07 Balázs Hetényi , Mohammad Yahyavi

We consider the electron transport through a single molecule magnet transistor in the presence of a local transverse magnetic field and ac-driven gate voltage. We calculate the conductance as a function of the electron energy and transverse…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Gabriel Gonzalez

We show the presence of a topological (Berry) phase in the time evolution of a mixed state. For the case of mixed neutrinos, the Berry phase is a function of the mixing angle only.

High Energy Physics - Theory · Physics 2009-10-31 Massimo Blasone , Peter A. Henning , Giuseppe Vitiello

Zak phase, which refers to the Berry's phase picked up by a particle moving across the Brillouin zone, characterizes the topological properties of Bloch bands in one-dimensional periodic system. Here the Zak phase in dimerized…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Weiwei Zhu , Ya-qiong Ding , Jie Ren , Yong Sun , Yunhui Li , Haitao Jiang , Hong Chen

We present the first measurements of the Berry phase in a superconducting Cooper pair pump. A fixed amount of Berry phase is accumulated to the quantum-mechanical ground state in each adiabatic pumping cycle, which is determined by…

Superconductivity · Physics 2009-11-13 Mikko Mottonen , Juha J. Vartiainen , Jukka P. Pekola

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

In quantum Hall edge states and in other one-dimensional interacting systems, charge fractionalization can occur due to the fact that an injected charge pulse decomposes into eigenmodes propagating at different velocities. If the original…

Strongly Correlated Electrons · Physics 2017-02-28 Alexander Schneider , Mirco Milletarì , Bernd Rosenow

We consider the influence of topological phases, or their vicinity, on the spin density and spin polarization through a chiral chain. We show the quantization of the Berry phase in a one-dimensional polarization helix structure, under the…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 P. D. Sacramento , M. F. Madeira

Variations of polarization of the electronic field is a dielectric property quantified by Resta et al. and discovered to be a Berry phase of the electronic subsystem. In order to continue the previous research we wrote a scalar phase \Phi…

Materials Science · Physics 2008-03-21 Simone Selenu

We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve…

Mathematical Physics · Physics 2016-06-10 Paolo Facchi , Giancarlo Garnero , Giuseppe Marmo , Joseph Samuel

We develop a nonperturbative approach to the bulk polarization of crystalline electric insulators in $d\geq1$ dimensions. Formally, we define polarization via the response to background fluxes of both charge and lattice translation…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Xue-Yang Song , Yin-Chen He , Ashvin Vishwanath , Chong Wang

Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $\gamma=\pm 2\pi\rho$…

Strongly Correlated Electrons · Physics 2015-01-30 Toshikaze Kariyado , Yasuhiro Hatsugai

The properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson coupling, i.e. when $E_{\mathrm{J}}\lesssim E_{\mathrm{C}}$. It is also known that Berry's…

Superconductivity · Physics 2007-05-23 M. Aunola , J. J. Toppari

Zak phase, i.e. the Berry phase acquired during an adiabatic motion of a Bloch particle across the Brillouin zone, provides a measure of the topological invariant of Bloch bands in one-dimensional crystalline potentials. Here a photonic…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Stefano Longhi
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