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We investigate the geometric phase or Berry phase (BP) acquired by a spin-half which is both subject to a slowly varying magnetic field and weakly-coupled to a dissipative environment (either quantum or classical). We study how this phase…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Yuriy Makhlin , Alexander Shnirman , Yuval Gefen

We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, $\alpha$, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a…

Quantum Physics · Physics 2009-08-21 Chi Zhang , Zhaohui Wei , Anargyros Papageorgiou

We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely…

Other Condensed Matter · Physics 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

Berry connection has been recently generalized to higher-dimensional QFT, where it can be thought of as a topological term in the effective action for background couplings. Via the inflow, this term corresponds to the boundary anomaly in…

High Energy Physics - Theory · Physics 2023-10-18 Mykola Dedushenko

We introduce ''Berry-dipole semimetals'', whose band degeneracies are characterized by quantized Berry dipoles. Through a two-band model constructed by Hopf map, we reveal that the Berry-dipole semimetals display a multitude of salient…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Zheng-Yang Zhuang , Chaoyi Zhang , Xiao-Jiao Wang , Zhongbo Yan

The use of an electron beam to remove ultracold atoms from selected sites in an optical lattice has opened up new opportunities to study transport in quantum systems [R. Labouvie {\it et al.\ }, Phys.\ Rev.\ Lett.\ {\bf 115}, 050601…

Quantum Gases · Physics 2016-09-14 M. K. Olsen , J. F. Corney

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

We consider a two-level system coupled to a highly non-Markovian environment when the coupling axis rotates with time. The environment may be quantum (for example a bosonic bath or a spin bath) or classical (such as classical noise). We…

Quantum Physics · Physics 2010-04-15 Robert S. Whitney

The experimental observation of effects due to Berry's phase in quantum systems is certainly one of the most impressive demonstrations of the correctness of the superposition principle in quantum mechanics. Since Berry's original paper in…

Quantum Physics · Physics 2009-10-31 A. C. Aguiar Pinto , M. C. Nemes , J. G. Peixoto de Faria , M. T. Thomaz

The effect of inter-subsystem couplings on the Berry phase of a composite system as well as that of its subsystem is investigated in this paper. We analyze two coupled spin-$\frac 1 2 $ particles with one driven by a quantized field as an…

Quantum Physics · Physics 2009-11-10 L. C. Wang , H. T. Cui , X. X. Yi

We analyze dephasing in a model system where electrons tunnel sequentially through a symmetric interference setup consisting of two single-level quantum dots. Depending on the phase difference between the two tunneling paths, this may…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt , C. Bruder

The quantum interference effects induced by the topological phase are studied analytically in biaxial antiferromagnets with an external magnetic field at an arbitrarily angle. This study provides a nontrivial generalization of the Kramers…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rong Lu , Hui Pan , Jia-Lin Zhu , Bing-Lin Gu

The problem of tunneling control in systems "quantum dot - quantum well" (as well as "quantum dot - quantum dot" or quantum molecule) and "quantum dot - bulk contact" is studied as a quantum tunneling with dissipation process in the…

We present the quantum phase diagram of mesoscopic SQUID array. We predict different quan- tum phases and the phase boundaries along with several special points. We present the results of magnetic flux induced dissipation on these points…

Superconductivity · Physics 2011-08-24 Sujit Sarkar

Experimentally feasible methods to determine the Berry phase, a fundamental quantity characterizing a quantum material, are often needed in applications. We develop an approach to detecting the Berry phase by using a class of…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Cheng-Zhen Wang , Ying-Cheng Lai

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

The experimental realisation of the basic constituents of quantum information processing devices, namely fault-tolerant quantum logic gates, requires conditional quantum dynamics, in which one subsystem undergoes a coherent evolution that…

Quantum Physics · Physics 2009-10-31 J. A. Jones , V. Vedral , A. Ekert , G. Castagnoli

Recently by using quantized Berry phases, a prescription for a local characterization of gapped topological insulators is given. One requires the ground state is gapped and is invariant under some anti-unitary operation. A spin liquid which…

Strongly Correlated Electrons · Physics 2015-06-25 Yasuhiro Hatsugai

Manipulating valley-dependent Berry phase effects provides remarkable opportunities for both fundamental research and practical applications. Here, by referring to effective model analysis, we propose a general scheme for realizing…

Mesoscale and Nanoscale Physics · Physics 2021-10-06 Xiaodong Zhou , Run-Wu Zhang , Zeying Zhang , Wanxiang Feng , Yuriy Mokrousov , Yugui Yao

The monopole-like singularity of Berry's adiabatic phase in momentum space and associated anomalous Poisson brackets have been recently discussed in various fields. With the help of the results of an exactly solvable version of Berry's…

High Energy Physics - Theory · Physics 2020-04-22 Shinichi Deguchi , Kazuo Fujikawa
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