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We study Thouless pumping out of the adiabatic limit. Our findings show that despite its topological nature, this phenomenon is not {generically} robust to non-adiabatic effects. Indeed we find that the Floquet diagonal ensemble value of…

Quantum Gases · Physics 2018-03-14 Lorenzo Privitera , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro

In this work, we explore topological phases of matter obtained by effectively gauging or fermionizing a system, where the Gauss law constraint is only enforced energetically. In contrast to conventional gauging or fermionization, the…

Strongly Correlated Electrons · Physics 2026-02-11 Takamasa Ando

We consider random labelings of finite graphs conditioned on a small fixed number of peaks. We introduce a continuum framework where a combinatorial graph is associated with a metric graph and edges are identified with intervals. Next we…

Probability · Mathematics 2017-08-15 Krzysztof Burdzy , Soumik Pal

Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D topological system can transform under symmetry in a fractional way. For example in fractional quantum Hall systems, excitations can carry fractional…

Strongly Correlated Electrons · Physics 2017-04-25 Xie Chen

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

We consider strongly interacting systems of effective spins, subject to dissipative spin-flip processes associated with optical pumping. We predict the existence of novel magnetic phases in the steady-state of this system, which emerge due…

Quantum Gases · Physics 2013-06-21 Tony E. Lee , Sarang Gopalakrishnan , Mikhail D. Lukin

Topological spin liquids are robust quantum states of matter with long-range entanglement and possess many exotic properties such as the fractional statistics of the elementary excitations. Yet these states, short of local parameters like…

Strongly Correlated Electrons · Physics 2017-08-28 Yan-Cheng Wang , Chen Fang , Meng Cheng , Yang Qi , Zi Yang Meng

We introduce a functor which associates to every measure preserving system (X,B,\mu,T) a topological system (C_2(\mu),\tilde{T}) defined on the space of 2-fold couplings of \mu, called the topological lens of T. We show that often the…

Dynamical Systems · Mathematics 2009-01-12 Eli Glasner , Mariusz Lemanczyk , Benjamin Weiss

Thouless charge pumping protocol provides an effective route for realizing topological particle transport. To date, the first-order and higher-order topological pumps, exhibiting transitions of edge-bulk-edge and corner-bulk-corner states,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Tianzhi Xia , Yuzeng Li , Qicheng Zhang , Xiying Fan , Meng Xiao , Chunyin Qiu

We investigate the effects of non-Hermiticity on topological pumping, and uncover a connection between a topological edge invariant based on topological pumping and the winding numbers of exceptional points. In Hermitian lattices, it is…

Classical Physics · Physics 2017-05-31 Wenchao Hu , Hailong Wang , Perry Ping Shum , Y. D. Chong

Nonadiabatic Thouless pumping of electrons is studied in the framework of topological Floquet engineering, particularly focused on how changes to chemical moieties can control the emergence of the Floquet topological phase. We employ…

Chemical Physics · Physics 2025-06-17 Ruiyi Zhou , Yosuke Kanai

An infinite-range model of an elastic manifold pulled through a random potential by an applied force $F$ is analyzed focusing on inertial effects. When the inertial parameter, $M$, is small, there is a continuous depinning transition from a…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. M. Schwarz , Daniel S. Fisher

Here we study a pumping device capable of maintaining a density gradient and a flux of particles across a membrane. Its driving mechanism is based on the flashing ratchet effect powered by the random telegraph process in the presence of…

Statistical Mechanics · Physics 2015-05-13 A. Gomez-Marin , J. M. Sancho

Measurement-induced phase transitions are often studied in random quantum circuits, with local measurements performed with a certain probability. We present here a model where a global measurement is performed with certainty at every…

Quantum Physics · Physics 2026-04-22 Paranjoy Chaki , Protyush Nandi , Ujjwal Sen , Subinay Dasgupta

In a recent paper a toy model (hypercubic model) undergoing a first-order $\mathbb{Z}_2$-symmetry-breaking phase transition ($\mathbb{Z}_2$-SBPT) was introduced. The hypercubic model was inspired by the \emph{topological hypothesis},…

Statistical Mechanics · Physics 2020-10-23 Fabrizio Baroni

The behavior of a stationary inverted point mass pendulum pivoted at its lower end in a gravitational potential is studied under the influence of statistical fluctuations. It is shown using purely classical equations that the pendulum…

Classical Physics · Physics 2010-09-29 Abhishodh Prakash

We evaluate electromagnetic-response observables in a half-filled Chern band, across a topological phase transition between a composite Fermi liquid (CFL) and a Fermi liquid (FL) phase. While a sharp gapped plasma mode exists deep in the…

Strongly Correlated Electrons · Physics 2026-02-06 Xinlei Yue , Fabian Pichler , Michael Knap , Ady Stern

Amorphous systems have rapidly gained promise as novel platforms for topological matter. In this work we establish a scaling theory of amorphous topological phase transitions driven by the density of lattice points in two dimensions. By…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Isac Sahlberg , Alex Westström , Kim Pöyhönen , Teemu Ojanen

Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study, as a concrete example, an emergent $\mathbb{Z}_2$-gauged system with global symmetry $U(1)$,…

Strongly Correlated Electrons · Physics 2024-06-06 Lei Su , Meng Zeng
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