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The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global…

Quantum simulation using synthetic systems is a promising route to solve outstanding quantum many-body problems in regimes where other approaches, including numerical ones, fail. Many platforms are being developed towards this goal, in…

The strong interaction between Rydberg atoms can be used to control the strength and character of the interatomic interaction in ultracold gases by weakly dressing the atoms with a Rydberg state. Elaborate theoretical proposals for the…

Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit…

Disordered Systems and Neural Networks · Physics 2025-01-14 Pedro R. Nicácio Falcão , Adith Sai Aramthottil , Piotr Sierant , Jakub Zakrzewski

Programmable arrays of neutral Rydberg atoms are one of the leading platforms today for scalable quantum simulation and computation. In these systems, the dipole-dipole interactions between the individual atoms, or qubits, typically result…

Quantum Gases · Physics 2026-04-15 Rhine Samajdar , Mikhail D. Lukin , Valentin Walther

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

The full design of relevant systems for quantum applications, ranging from quantum simulation to sensing, is presented using a combination of atomistic methods. A prototypical system features a two-dimensional ordered distribution of spins…

We devise a cold-atom approach to realizing a broad range of bi-linear quantum magnets. Our scheme is based on off-resonant single-photon excitation of Rydberg $P$-states (Rydberg-dressing), whose strong interactions are shown to yield…

Quantum Gases · Physics 2018-10-09 R. M. W. van Bijnen , T. Pohl

The standard quantum limit bounds the precision of measurements that can be achieved by ensembles of uncorrelated particles. Fundamentally, this limit arises from the non-commuting nature of quantum mechanics, leading to the presence of…

We present quantum simulation experiments of Ising-like spins on Platonic graphs, which are performed with two-dimensional arrays of Rydberg atoms and quantum-wire couplings. The quantum wires are used to couple otherwise uncoupled…

Quantum Physics · Physics 2024-10-31 Andrew Byun , Minhyuk Kim , Jaewook Ahn

Motzkin spin chain is a well-known mathematical model with connections to symmetry-protected topological phases, such as the Haldane phase, as well as to concepts in the AdS/CFT correspondence. They exhibit highly entangled ground states…

Quantum Physics · Physics 2026-03-25 Kaustav Mukherjee , Hatem Barghathi , Adrian Del Maestro , Rick Mukherjee

Recently it has been shown that transmon qubit architectures experience a transition between a many-body localized and a quantum chaotic phase. While it is crucial for quantum computation that the system remains in the localized regime, the…

Quantum Physics · Physics 2024-03-22 Evangelos Varvelis , David P. DiVincenzo

Quantum spin networks having engineered geometries and interactions are eagerly pursued for quantum simulation and access to emergent quantum phenomena such as spin liquids. Spin-1/2 centers are particularly desirable because they readily…

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

Low-dimensional quantum systems host a variety of exotic states, such as symmetry-protected topological ground states in spin-1 Haldane chains. Real-world realizations of such states could serve as practical quantum simulators for quantum…

Strongly Correlated Electrons · Physics 2025-12-05 Yasser Saleem , Weronika Pasek , Marek Korkusinski , Moritz Cygorek , Pawel Potasz

We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees…

Chaotic Dynamics · Physics 2009-02-20 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack

The growth in the demand for precisely crafted many-body systems of spin-$1/2$ particles/qubits is due to their top-notch versatility in application-oriented quantum-enhanced protocols and the fundamental tests of quantum theory. Here we…

Quantum Physics · Physics 2020-10-14 Artur Niezgoda , Miłosz Panfil , Jan Chwedeńczuk

We theoretically investigate trapped ions interacting with atoms that are coupled to Rydberg states. The strong polarizabilities of the Rydberg levels increases the interaction strength between atoms and ions by many orders of magnitude, as…

Quantum Physics · Physics 2016-07-27 Thomas Secker , Rene Gerritsma , Alexander W. Glaetzle , Antonio Negretti

We theoretically investigate the localization properties of a spin-orbit coupled spin-1/2 particle moving in a one-dimensional quasiperiodic potential, which can be experimentally implemented using cold atoms trapped in a quasiperiodic…

Quantum Gases · Physics 2015-06-15 Lu Zhou , Han Pu , Weiping Zhang

Higher-order interactions in spin-based Hamiltonians are crucial in addressing numerous fundamentally significant physical problems. In this work, Rydberg-atom graph gadgets are introduced to effectively program $K$-th order interactions…

Quantum Physics · Physics 2024-10-31 Andrew Byun , Seokho Jeong , Jaewook Ahn