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A measure-preserving formalism (MPF) is constructed and applied to spin/band models, which yield observations about pumping. It occurs at topological phase transition (TPT), i.e., a $Z_2$-flip, suggesting that $Z_2$ can imply bulk effects.…

Mathematical Physics · Physics 2022-01-04 B. Q. Song , J. D. H. Smith , L. Luo , J. Wang

Many-body topological quantum states host exotic quantum phenomena and lie at the forefront of developing next-generation quantum technologies. Recently emerged neural network wavefunction methods have established themselves as a powerful…

Strongly Correlated Electrons · Physics 2026-04-13 Haoxiang Chen , Yubing Qian , Weiluo Ren , Xiang Li , Ji Chen

We propose a simple scheme for the realization of a topological quasienergy band structure with ultracold atoms in a periodically driven optical square lattice. It is based on a circular lattice shaking in the presence of a superlattice…

Quantum Gases · Physics 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

Theoretical analysis demonstrates that a spin qubit in a parabolic quantum wire, when driven by a bichromatic field, exhibits a confinement-tunable synthetic gauge field leading to novel Floquet topological phenomena. The underlying…

We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is…

Quantum Gases · Physics 2019-02-25 Feng Mei , Jia-Bin You , Dan-Wei Zhang , X. C. Yang , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Experiments with bosonic atoms in optical superlattices allow for the interesting possibility to study the adiabatic quantized pumping of bosonic atoms in the presence of interactions. We investigate this exotic phenomenon for bound bosonic…

Quantum Gases · Physics 2020-06-24 Sebastian Greschner , Suman Mondal , Tapan Mishra

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

Mesoscale and Nanoscale Physics · Physics 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

We realized a quantum geometric "charge" pump for a Bose-Einstein condensate (BEC) in the lowest Bloch band of a novel bipartite magnetic lattice. Topological charge pumps in filled bands yield quantized pumping set by the global --…

Quantum Gases · Physics 2016-05-25 Hsin-I Lu , Max Schemmer , Lauren M. Aycock , Dina Genkina , Seiji Sugawa , Ian B. Spielman

We study the properties of the quantum states in the one-dimensional system with a shifted periodic potential in both the discrete model and the continuous model. With open boundary conditions, the edge states appear in the energy gaps…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yi Zheng , Shi-Jie Yang

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We analyze quantum charge pumping in an open ring with a dot embedded in one of its arms. We show that cyclic driving of the dot levels by a \textit{single} parameter leads to a pumped current when a static magnetic flux is simultaneously…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Luis E. F. Foa Torres

For an open quantum system, we investigate the pumped current induced by a slow modulation of control parameters on the basis of the quantum master equation and full counting statistics. We find that the average and the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2012-12-20 Tatsuro Yuge , Takahiro Sagawa , Ayumu Sugita , Hisao Hayakawa

Floquet engineering is an important tool for realizing topologically nontrivial band structures for charge-neutral atoms in optical lattices. However, the preparation of a topological-band-insulator-type state of fermions, with one…

Quantum Gases · Physics 2024-08-14 Alexander Schnell , Christof Weitenberg , André Eckardt

Topologically ordered systems are characterized by topological invariants that are often calculated from the momentum space integration of a certain function that represents the curvature of the many-body state. The curvature function may…

Mesoscale and Nanoscale Physics · Physics 2016-01-21 Wei Chen

Topological phenomena typically govern the behavior of delocalized waves, giving rise to robust transport in electronic, photonic, and mechanical systems. Whether similar principles can directly control the motion of a localized particle,…

Fluid Dynamics · Physics 2026-03-13 Ethan Andersson , Valeri Frumkin

Low-temperature transport spectroscopy measurements on a suspended few-hole carbon nanotube quantum dot are presented, showing a gate-dependent harmonic excitation spectrum which, strikingly, occurs in the Coulomb blockade regime. The…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 A. K. Huettel , B. Witkamp , M. Leijnse , M. R. Wegewijs , H. S. J. van der Zant

Floquet engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

Quantum Physics · Physics 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

We investigate the coherence and correlations of many-body states appearing in topological pumping in a one-dimensional Bose gas. By analyzing the system at zero and infinite interaction strengths, we reveal a rescaling of momentum…

The interplay between nonlinear and topological physics has led to intriguing emergent phenomena, such as quantized and fractionally quantized Thouless pumping of solitons dictated by the topological invariants of the underlying band…

Optics · Physics 2025-11-05 Ankitkumar Maisuriya , Siddhi Mali , Sunil Mittal

A topological pump of the $SU(Q)$ quantum chain is proposed associated with a current due to a local $[U(1)]^{\otimes Q}$ gauge invariance of colored fermions. The $SU(Q)$ invariant dimer phases are characterized by the $Z_Q$ Berry phases…

Strongly Correlated Electrons · Physics 2023-07-24 Yasuhiro Hatsugai , Yoshihito Kuno