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In this letter we present a theorem on the dynamics of the generalized Hubbard models. This theorem shows that the symmetry of the single particle Hamiltonian can protect a kind of dynamical symmetry driven by the interactions. Here the…

Quantum Gases · Physics 2017-12-06 Jinlong Yu , Ning Sun , Hui Zhai

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological…

Quantum Physics · Physics 2009-11-13 Chuanwei Zhang , V. W. Scarola , Sumanta Tewari , S. Das Sarma

We consider the massive vector field propagating in the inhomogeneous parity-breaking medium, such as the dense hot hadronic matter with chiral imbalance. The transition between the regions with approximately constant values of the…

High Energy Physics - Theory · Physics 2023-12-07 Oleg O. Novikov , Anna Zakharova

We study the real-time evolution of a charge-excited state in a one-dimensional $e_{\rm g}$-orbital degenerate Hubbard model, by a time-dependent density-matrix renormalization group method. Considering a chain along the $z$ direction,…

Strongly Correlated Electrons · Physics 2015-05-27 Hiroaki Onishi

Symmetry-protected spectral topology in non-Hermitian systems has interesting manifestations such as dynamically anomalous chiral currents and skin effect. We study the interplay between symmetries and disorder in a paradigmatic model for…

Mesoscale and Nanoscale Physics · Physics 2022-08-01 Ronika Sarkar , Suraj S. Hegde , Awadhesh Narayan

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

We obtain the quantum phase diagram of the ionic Hubbard model including electron-hole symmetric density-dependent hopping. The boundaries of the phases are determined by crossing of excited levels with particular discrete symmetries, which…

Strongly Correlated Electrons · Physics 2023-04-11 P. Roura Bas , A. A. Aligia

One-dimensional lattice model of SU(2)_{4} anyons containing a transition into the topological ordered phase state is considered. An effective low-energy Hamiltonian is found for half-integer and integer indices of the type of strongly…

Strongly Correlated Electrons · Physics 2010-01-28 L. Martina , A. Protogenov , V. Verbus

Kinetically constrained models were originally introduced to capture slow relaxation in glassy systems, where dynamics are hindered by local constraints instead of energy barriers. Their quantum counterparts have recently drawn attention…

Quantum Physics · Physics 2026-03-31 Eloi Nicolau , Marko Ljubotina , Maksym Serbyn

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

The bulk band topology of symmetry invariant adiabatic systems in the thermodynamic limit are considered to be determined by the hopping energy. In this work, we present that in closed classical systems, due to generalized chiral symmetry…

Materials Science · Physics 2021-06-30 Zhang-Zhao Yang , An-Yang Guan , Xin-Ye Zou , Jian-Chun Cheng

In many of the experimental systems that may host Majorana zero modes, a so-called chiral symmetry exists that protects overlapping zero modes from splitting up. This symmetry is operative in a superconducting nanowire that is narrower than…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 H. Schomerus , M. Marciani , C. W. J. Beenakker

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2011-01-28 J. Steinheimer , S. Schramm , H. Stöcker

We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium…

Strongly Correlated Electrons · Physics 2009-11-11 Michael Dzierzawa , Carmen Mocanu

In this paper, we look at four generalizations of the one dimensional Aubry-Andre-Harper (AAH) model which possess mobility edges. We map out a phase diagram in terms of population imbalance, and look at the system size dependence of the…

Statistical Mechanics · Physics 2021-05-19 Sayantan Roy , Subroto Mukerjee , Manas Kulkarni

A simple solvable toy model exhibiting effective restoration of chiral symmetry in excited hadrons is constructed. A salient feature is that while physics of the low-lying states is crucially determined by the spontaneous breaking of chiral…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas D. Cohen , Leonid Ya. Glozman

Using dynamical-mean-field theory for clusters, we study the two-dimensional Hubbard model in which electrons are coupled with the orthorhombic lattice distortions through the modulation in the hopping matrix. Instability towards…

Strongly Correlated Electrons · Physics 2015-06-05 Satoshi Okamoto , Nobuo Furukawa

We consider the antiferromagnetic Heisenberg and the repulsive Hubbard model on two $N$-site one-dimensional lattices, which support dispersionless one-particle states corresponding to localized states on triangular trapping cells. We…

Strongly Correlated Electrons · Physics 2011-12-23 Mykola Maksymenko , Oleg Derzhko , Johannes Richter

A periodic perturbation such as a laser field cannot induce transitions between two decoupled states for which the transition matrix element vanishes. We show, however, that if in addition some system parameters are varied adiabatically,…

Quantum Physics · Physics 2008-09-18 Xingxiang Zhou , Ari Mizel

Quantum adiabatic evolution, an important fundamental concept inphysics, describes the dynamical evolution arbitrarily close to the instantaneous eigenstate of a slowly driven Hamiltonian. In most systems undergoing spontaneous…

Quantum Physics · Physics 2020-04-28 Min Zhuang , Jiahao Huang , Yongguan Ke , Chaohong Lee