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In this paper, it is pointed out that the Berry's phase is a good index of degree of no-commutativity of the quantum statistical model. Intrinsic relations between the `complex structure' of the Hilbert space and Berry's phase is also…

Quantum Physics · Physics 2007-05-23 Keiji Matsumoto

We study the double exchange model on two lattice sites with one conduction electron in the limit of an infinite Hund's interaction. While this simple problem is exactly solvable, we present an approximate solution which is valid in the…

Condensed Matter · Physics 2009-11-07 A. G. Abanov , Ar. Abanov

For two-dimensional holographic CFTs, we demonstrate the role of Berry phases for relating the non-factorization of the Hilbert space to the presence of wormholes. The wormholes are characterized by a non-exact symplectic form that gives…

High Energy Physics - Theory · Physics 2022-09-07 Souvik Banerjee , Moritz Dorband , Johanna Erdmenger , René Meyer , Anna-Lena Weigel

We consider coupling of acoustic phonon to pseudospins consisting of electronic spins locked to orbital angular momentum states. We show that a Berry phase term arises from projection onto the time-dependent lowest energy manifold. We…

Strongly Correlated Electrons · Physics 2023-11-16 S. -K. Yip

We calculate the geometric phase for different open systems (spin-boson and spin-spin models). We study not only how they are corrected by the presence of the different type of environments but also discuss the appearence of decoherence…

Quantum Physics · Physics 2008-03-11 Fernando C. Lombardo , Paula I. Villar

We show how a driven-dissipative cavity coupled to a collective ensemble of atoms can dynamically generate metrologically useful spin-squeezed states. In contrast to other dissipative approaches, we do not rely on complex engineered…

The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. N. Fuchs , F. Piechon , M. O. Goerbig , G. Montambaux

A notion of the Berry phase is a powerful means to unravel the non-trivial role of topology in various novel phenomena observed in chiral magnetic materials and structures. A celebrated example is the intrinsic anomalous Hall effect (AHE)…

The nature of the low energy spectrum of frustrated quantum spin systems is investigated by means of a topological test introduced by Y. Hatsugai which enables to infer the possible existence or absence of a gap between the ground state and…

Strongly Correlated Electrons · Physics 2008-07-18 J. Richert

The photocurrent in an optically active metal is known to contain a component that switches sign with the helicity of the incident radiation. At low frequencies, this current depends on the orbital Berry phase of the Bloch electrons via the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. E. Moore , J. Orenstein

Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined under evolution of the half of period of the classical motions,…

Quantum Physics · Physics 2007-05-23 JeongHyeong Park , Dae-Yup Song

In terms of quantum probability statistics the Bell inequality (BI) and its violation are extended to spin-$s$ entangled Schr\"{o}dinger cat-state (called the Bell cat-state) with both parallel and antiparallel spin-polarizations. The BI is…

Quantum Physics · Physics 2022-01-04 Yan Gu , Haifeng Zhang , Zhigang Song , L. -F. Wei , J. -Q. Liang

We examine excitons formed in the bulk of a topological insulator as the system is tuned via a parameter between topological and trivial insulating phases, arguing that nontrivial topology has fingerprints in the spectrum of these excitons.…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Andrew A. Allocca , Dmitry K. Efimkin , Victor M. Galitski

We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism…

Quantum Physics · Physics 2009-11-06 K. M. Fonseca Romero , A. C. Aguiar Pinto , M. T. Thomaz

The generic Berry phase scenario in which a two-level system is coupled to a second system whose dynamical coordinate is slowly-varying is generalized to allow for stochastic evolution of the slow system. The stochastic behavior is produced…

Quantum Physics · Physics 2009-10-31 Frank Gaitan

We relate the Riemann curvature of a holographic spacetime to an entanglement property of the dual CFT state: the Berry curvature of its modular Hamiltonians. The modular Berry connection encodes the relative bases of nearby CFT subregions…

High Energy Physics - Theory · Physics 2020-01-08 Bartlomiej Czech , Jan de Boer , Dongsheng Ge , Lampros Lamprou

We propose a scheme for measuring the Berry phase in the vibrational degree of freedom of a trapped ion. Starting from the ion in a vibrational coherent state we show how to reverse the sign of the coherent state amplitude by using a purely…

Quantum Physics · Physics 2009-11-06 I. Fuentes-Guridi , S. Bose , V. Vedral

It is well-known that Dirac particles gain geometric phase, namely Berry phase, while moving in an electromagnetic field. Researchers have already shown covariant formalism for the Berry connection due to an electromagnetic field. A similar…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Achal Kumar , Banibrata Mukhopadhyay

We investigate the geometric phase or Berry phase of adiabatic quantum evolution in the Bose-Einstein condensate (BEC) systems governed by nonlinear Gross-Pitaevskii(GP) equations. We study how this phase is modified by the nonlinearity and…

Quantum Gases · Physics 2009-08-31 J. Liu , L. B. Fu

In this paper, we generalize the results of S. Oh (Physics Letters A. 644-647 \textbf{373 }) to Dzyaloshinski-Moriya model under nonuniform external magnetic field to investigate the relation between entanglement, geometric phase (or Berry…

Quantum Physics · Physics 2016-08-12 G. Najarbashi , B. Seifi