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By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional…

Strongly Correlated Electrons · Physics 2016-05-25 G. Sun , T. Vekua

We derive a widely-applicable first principles approach for determining two-body, static effective interactions for low-energy Hamiltonians with quantitative accuracy. The algebraic construction rigorously conserves all instantaneous…

Strongly Correlated Electrons · Physics 2024-03-19 Charles J. C. Scott , George H. Booth

A unifying approach to competing quantum orders in generalized two-leg spin ladders is presented. Hidden relationship and quantum phase transitions among the competing orders are thoroughly discussed by means of a low-energy field theory…

Strongly Correlated Electrons · Physics 2013-05-29 P. Lecheminant , K. Totsuka

All intelligence is collective intelligence, in the sense that it is made of parts which must align with respect to system-level goals. Understanding the dynamics which facilitate or limit navigation of problem spaces by aligned parts thus…

Statistical Mechanics · Physics 2026-05-18 Francesco Sacco , Dalton A R Sakthivadivel , Michael Levin

The topological features of quantum many-body wave functions are known to have profound consequences for the physics of ground-states and their low-energy excitations. We describe how topology influences the dynamics of many-body systems…

Strongly Correlated Electrons · Physics 2019-12-30 Max McGinley , Nigel R. Cooper

We review recent developments in the study of out-of-equilibrium topological states of matter in isolated systems. The phenomenon of many-body localization, exhibited by some isolated systems usually in the presence of quenched disorder,…

Disordered Systems and Neural Networks · Physics 2018-07-05 S. A. Parameswaran , Romain Vasseur

We discuss a certain class of two-dimensional quantum systems which exhibit conventional order and topological order, as well as two-dimensional quantum critical points separating these phases. All of the ground-state equal-time correlators…

Strongly Correlated Electrons · Physics 2007-05-23 Eddy Ardonne , Paul Fendley , Eduardo Fradkin

The topological phases of non-interacting fermions have been classified by their symmetries, culminating in a modern electronic band theory where wavefunction topology can be obtained (in part) from momentum space. Recently, Real Space…

Strongly Correlated Electrons · Physics 2024-02-27 Jonah Herzog-Arbeitman , B. Andrei Bernevig , Zhi-Da Song

In present work, we discuss some topological features of charged particles interacting a uniform magnetic field in a finite volume. The edge state solutions are presented, as a signature of non-trivial topological systems, the energy…

High Energy Physics - Lattice · Physics 2022-06-22 Peng Guo , Vladimir Gasparian

Systems displaying quantum topological order feature robust characteristics that are very attractive to quantum computing schemes. Topological quantum field theories have proven to be powerful in capturing the quintessential attributes of…

Mesoscale and Nanoscale Physics · Physics 2024-08-15 P. Vojta , G. Ortiz , Z. Nussinov

Recent discoveries in topological physics hold a promise for disorder-robust quantum systems and technologies. Topological states provide the crucial ingredient of such systems featuring increased robustness to disorder and imperfections.…

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

Soft Condensed Matter · Physics 2009-07-31 Mark J. Bowick , Luca Giomi

Topologically interlocked materials and structures, which are assemblies of unbonded interlocking building blocks, are promising concepts for versatile structural applications. They have been shown to exhibit exceptional mechanical…

Numerical Analysis · Mathematics 2023-05-24 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

It is essential to select efficient topology of parameterized quantum circuits (PQCs) in variational quantum algorithms (VQAs). However, there are problems in current circuits, i.e. optimization difficulties caused by too many parameters or…

Quantum Physics · Physics 2023-08-22 Wenjie Liu , Qingshan Wu

We propose to use a permutation symmetric sample of multi-level atoms to simulate the properties of topologically ordered states. The Rydberg blockade interaction is used to prepare states of the sample which are equivalent to resonating…

Quantum Physics · Physics 2010-11-25 Anne E. B. Nielsen , Klaus Mølmer

We introduce a minimal model to describe the charge degree of freedom in cuprates with the on-site Hilbert space reduced to only the three valence states CuO$_4^{7-,6-,5-}$ (nominally Cu$^{1+,2+,3+}$) and make use of the S=1 pseudospin…

Strongly Correlated Electrons · Physics 2023-01-31 A. S. Moskvin , Yu. D. Panov

The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper we suggest…

Quantum Physics · Physics 2021-11-29 Juan Zurita , Charles Creffield , Gloria Platero

We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern-Simons gauge field of an inhomogeneous group. Analysis of the phase space shows…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Bais , N. M. Muller

Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain symmetry protected topological (SPT) phases can persist away…

Statistical Mechanics · Physics 2021-07-30 Jared Jeyaretnam , Jonas Richter , Arijeet Pal