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We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an…

Mathematical Physics · Physics 2019-06-26 Jacob Shapiro , Clément Tauber

The dynamics of quantum correlations are central to understanding many physical properties of quantum systems. Here we experimentally study the correlation dynamics via two-particle quantum walks in superconducting Bose-Hubbard qutrit…

Coherent dynamics of interacting quantum particles plays a central role in the study of strongly correlated quantum matter and the pursuit of quantum information processors. Here, we present the state-space of interacting Rydberg atoms as a…

Quantum Physics · Physics 2024-08-20 Tao Chen , Chenxi Huang , Bryce Gadway , Jacob P. Covey

Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

Biological Physics · Physics 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

Quantum Physics · Physics 2021-08-25 Longwen Zhou

We investigate the dynamics of two interacting diffusing particles in an infinite effectively one dimensional system; the particles interact through a step-like potential of width b and height phi_0 and are allowed to pass one another. By…

Biomolecules · Quantitative Biology 2009-11-13 Tobias Ambjornsson , Robert J. Silbey

Understanding the many-body dynamics of isolated quantum systems is one of the central challenges in modern physics. To this end, the direct experimental realization of strongly correlated quantum systems allows one to gain insights into…

Higher-order topological phases (HOTPs) are characterized by symmetry-protected bound states at the corners or hinges of the system. In this work, we reveal a momentum-space counterpart of HOTPs in time-periodic driven systems, which are…

Quantum Physics · Physics 2021-05-03 Longwen Zhou

Many-body quantum dynamics defined on a spatial lattice and in discrete time -- either as stroboscopic Floquet systems or quantum circuits -- has been an active area of research for several years. Being discrete in space and time, a natural…

Quantum Physics · Physics 2024-11-04 Pieter W. Claeys , Austen Lamacraft

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

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

The results of numerical simulation of the interaction of topological solitons (2+1)-dimensional O(3) non-linear sigma model in reversed time are presented. At the first stage, models of interactions of topological vortices are developed,…

Pattern Formation and Solitons · Physics 2022-11-29 Farhod Shokir

Periodically driven systems play a prominent role in optical lattices. In these ultracold atomic systems, driving is used to create a variety of interesting behaviours, of which an important example is provided by topological states of…

Quantum Gases · Physics 2017-11-27 A. Quelle , C. Weitenberg , K. Sengstock , C. Morais Smith

Recurrence behavior of wave packets in coupled higher dimensional systems and periodically driven systems is analyzed, which takes place in the realm of higher coupling/modulation strength. We analyze the wave packet dynamics close to…

Quantum Physics · Physics 2015-03-17 Muhammad Ayub , Khalid Naseer , Farhan Saif

In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Jacquelin Luneau , Clément Dutreix , Quentin Ficheux , Pierre Delplace , Benoît Douçot , Benjamin Huard , David Carpentier

We propose a time-dependent approach to investigate the motion of electrons in quantum pump device configurations. The occupied one-particle states are propagated in real time and used to calculate the local electron density and current. An…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Stefanucci , S. Kurth , A. Rubio , E. K. U. Gross

We investigate the two-component quantum walk in one-dimensional lattice. We show that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for…

Quantum Gases · Physics 2021-11-15 Mrinal Kanti Giri , Suman Mondal , Bhanu Pratap Das , Tapan Mishra

Interference dynamics is analyzed in the light of the complex quantum Hamilton-Jacobi formalism, using as a working model the collision of two Gaussian wave packets. Though simple, this model nicely shows that interference in quantum…

Quantum Physics · Physics 2008-06-04 A. S. Sanz , S. Miret-Artes

We describe a simple quantum algorithm to simulate time-dependent Hamiltonian, extending the methodology of quantum signal processing. The framework achieves optimal scaling up to some factor with respect to other parameters, and nearly…

Quantum Physics · Physics 2025-03-11 Nhat A. Nghiem

This paper explores the entanglement dynamics generated by interacting two-particle quantum walks on degree-regular and -irregular graphs. We performed spectral analysis of the time-evolution of both the particle probability distribution…

Quantum Physics · Physics 2015-11-17 G. R. Carson , T. Loke , J. B. Wang