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Distinct from the dynamical phase, in a cyclic evolution, a system's state may acquire an additional component, a.k.a. geometric phase. The latter is a manifestation of a closed path in state space. Geometric phases underlie various…

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

A convenient measure of a map or flow's chaotic action is the topological entropy. In many cases, the entropy has a homological origin: it is forced by the topology of the space. For example, in simple toral maps, the topological entropy is…

Dynamical Systems · Mathematics 2013-05-28 Sarah Tumasz , Jean-Luc Thiffeault

We investigate the photon pumping effect in a topological model consisting of a periodically driven spin-1/2 coupled to a quantum cavity mode out of the adiabatic limit. In the strong-drive adiabatic limit, a quantized frequency conversion…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Christina Psaroudaki , Gil Refael

Topological pumping is conventionally governed by single-particle band topology. Here we show that promoting tunneling to a dynamical, occupation-conditioned variable fundamentally reshapes this paradigm, leading to occupation-selective…

Quantum Gases · Physics 2026-03-25 Wenjie Liu , Ching Hua Lee , Zhoutao Lei

We investigate the coupled dynamics of symmetry breaking and phase separation during quenches across the critical point in a first-order phase transition. Based on the Einstein-Maxwell-scalar theory, we construct a holographic superfluid…

High Energy Physics - Theory · Physics 2026-04-02 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

Spurred by recent development of fracton topological phases, unusual topological phases possessing fractionalized quasi-particles with mobility constraints, the concept of symmetries has been renewed. In particular, in accordance with the…

Strongly Correlated Electrons · Physics 2024-05-24 Hiromi Ebisu , Masazumi Honda , Taiichi Nakanishi

Let S be an ergodic measure-preserving automorphism on a non-atomic probability space, and let T be the time-one map of a topologically weak mixing suspension flow over an irreducible subshift of finite type under a Holder ceiling function.…

Dynamical Systems · Mathematics 2012-08-20 Anthony Quas , Terry Soo

Spin pumping effect is a sensitive and well-established experimental method in two-dimensional (2D) magnetic materials. We propose that spin pumping effect can be a valuable probe for non-Fermi liquid (NFL) behaviors at the 2D interface of…

Strongly Correlated Electrons · Physics 2025-03-19 Xiao-Tian Zhang , Yi-Hui Xing , Xu-Ping Yao , Yuya Ominato , Long Zhang , Mamoru Matsuo

Topological charge distributions in 2 dimensional CP^2 model with theta-term is calculated. In strong coupling regions, topological charge distribution is approximately given by Gaussian form as a function of topological charge and this…

High Energy Physics - Lattice · Physics 2009-10-31 Masahiro Imachi , Shouhei Kanou , Hiroshi Yoneyama

Adiabatic and periodic variation of the lattice parameters can make it possible to transport charge through a system even without net external electric or magnetic fields, known as Thouless charge pumping. The amount of charge pumped in a…

Quantum Gases · Physics 2024-01-17 Suman Mondal , Eric Bertok , Fabian Heidrich-Meisner

Topological insulators have gapless states at their boundaries while trivial insulators generically do not. We consider loops in the spaces of Hamiltonians of topologically trivial Bloch insulators, and show that there exist loops for which…

Statistical Mechanics · Physics 2011-04-12 Rahul Roy

Recent studies have shown that a soliton can be {\it fractionally} transported by slowly varying a system parameter over one period in a nonlinear system. This phenomenon is attributed to the nontrivial topology of the corresponding energy…

Pattern Formation and Solitons · Physics 2025-02-11 Yu-Liang Tao , Yongping Zhang , Yong Xu

Pumping of charge in phase-coherent mesoscopic systems due to the out-of-phase modulation of two parameters has recently found considerable interest. We investigate the effect of inelastic processes on the adiabatically pumped current…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

We set up a general density-operator approach to geometric steady-state pumping through slowly driven open quantum systems. This approach applies to strongly interacting systems that are weakly coupled to multiple reservoirs at high…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 T. Pluecker , M. R. Wegewijs , J. Splettstoesser

Beyond the quantum Markov approximation, we calculate the geometric phase of a two-level system driven by a quantized magnetic field subject to phase dephasing. The phase reduces to the standard geometric phase in the weak coupling limit…

Quantum Physics · Physics 2009-11-11 X. X. Yi , L. C. Wang , W. Wang

Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the…

Quantum Physics · Physics 2022-11-23 Xin Shen , Yan-Qing Zhu , Zhi Li

A rigorous analytical theory of parametric excitation under the longitudinal pumping has been developed for the surface magnetostatic modes of a long elliptic ferrite cylinder magnetized along its axis with regard for the boundary…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 M. A. Popov

Quantum pumping holds great potential for future applications in micro- and nanotechnology. Its main feature, dissipationless charge transport, is theoretically possible via several different mechanisms. However, since no unambiguous…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markku Jaaskelainen , Frank Corvino , Christopher P. Search , Vassilios Fessatidis

We propose a geometric description of all gapped excitations in fractional quantum Hall phases that reveals several fundamental understandings with experimental consequences. These include a duality between the Hilbert space of multiple…

Strongly Correlated Electrons · Physics 2026-03-17 Yuzhu Wang , Bo Yang
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