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In this article, we explore the connection between the heating phase of periodically driven CFTs and the Modular Hamiltonian of a subregion in the vacuum state. We show that the heating phase Hamiltonian corresponds to the Modular…

High Energy Physics - Theory · Physics 2024-07-12 Suchetan Das , Bobby Ezhuthachan , Somnath Porey , Baishali Roy

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…

High Energy Physics - Theory · Physics 2017-07-26 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

The multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) theory within second quantization representation of the Fock space, a novel numerically exact methodology to treat many-body quantum dynamics for systems containing…

Mesoscale and Nanoscale Physics · Physics 2012-01-05 Haobin Wang , Ivan Pshenichnyuk , Rainer Härtle , Michael Thoss

Hamiltonian quantization of an integral compact symplectic manifold M depends on a choice of compatible almost complex structure J. For open sets U in the set of compatible almost complex structures and small enough values of Planck's…

Symplectic Geometry · Mathematics 2015-06-26 T. Foth , A. Uribe

We investigate magnetotransport in a time-reversal symmetry-broken, untilted Weyl semimetal in the simultaneous presence of momentum-space Berry curvature and real-space topology arising from a skyrmion-induced emergent magnetic field…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Azaz Ahmad , Takami Tohyama

It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Those terms are for instance responsible for the spin Hall…

High Energy Physics - Theory · Physics 2008-12-18 Pierre Gosselin , Alain Berard , Herve Mohrbach

The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

High Energy Physics - Theory · Physics 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross

Dirac brackets are widely used to study constrained Hamiltonian dynamics. In this paper we develop a Dirac-bracket approach to normal forms on momentum levels and relate it to symplectic reduction in the cases where reduction yields a…

Symplectic Geometry · Mathematics 2026-03-20 Jose Lamas , Lei Zhao

We consider electronic transport through laterally parallel double open quantum dots embedded in a quantum wire in a perpendicular magnetic field. The coupling modes of the dots are tunable by adjusting the strength of a central barrier and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chi-Shung Tang , Wing Wa Yu , Vidar Gudmundsson

The influence of the geometric phase, in particular the Berry phase, on an entangled spin-1/2 system is studied. We discuss in detail the case, where the geometric phase is generated only by one part of the Hilbert space. We are able to…

Quantum spin Hall insulator is characterized by the helical edge states, with the spin polarization of electron being locked to its direction of motion. Although the edge-state conduction has been observed, unambiguous evidence of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Wei Chen , Wei-Yin Deng , Jing-Min Hou , D. N. Shi , L. Sheng , D. Y. Xing

We propose a new fibre bundle formulation of the mathematical base of relativistic quantum mechanics. At the present stage the bundle form of the theory is equivalent to its conventional one, but it admits new types of generalizations in…

Quantum Physics · Physics 2009-11-07 Bozhidar Z. Iliev

This is a research monograph on symplectic cohomology (disguised as an advanced graduate textbook), which provides a construction of this version of Hamiltonian Floer cohomology for cotangent bundles of closed manifolds. The focus is on the…

Symplectic Geometry · Mathematics 2014-01-28 Mohammed Abouzaid

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

The transport properties of junctions composed of a central region tunnel-coupled to external electrodes are frequently studied within the single-impurity Anderson model with Hubbard on-site interaction. In the present work, we supplement…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Ulrich Eckern , Karol I. Wysokiński

The spin network quantum simulator relies on the su(2) representation ring (or its q-deformed counterpart at q= root of unity) and its basic features naturally include (multipartite) entanglement and braiding. In particular, q-deformed spin…

Mathematical Physics · Physics 2009-02-24 Zoltan Kadar , Annalisa Marzuoli , Mario Rasetti

Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. -M. Ho

Using the quasiclassical concept of Berry curvature we demonstrate that a Dirac exciton - a pair of Dirac quasiparticles bound by Coulomb interactions - inevitably possesses an intrinsic angular momentum making the exciton effectively…

Mesoscale and Nanoscale Physics · Physics 2018-05-03 Maxim Trushin , Mark Oliver Goerbig , Wolfgang Belzig

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

We suggest a geometric approach to quantisation of the twisted Poisson structure underlying the dynamics of charged particles in fields of generic smooth distributions of magnetic charge, and dually of closed strings in locally…

High Energy Physics - Theory · Physics 2019-03-27 Severin Bunk , Lukas Müller , Richard J. Szabo