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A field-theoretic description of critical behavior of Ising systems with long-range interactions is obtained in the two-loop approximation directly in the three-dimensional space. It is shown that long-range interactions affect the…

Statistical Mechanics · Physics 2007-05-23 S. V. Belim

Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions, and dissipative processes. They may display dynamics…

Statistical Mechanics · Physics 2023-04-14 Dominik Sulz , Christian Lubich , Gianluca Ceruti , Igor Lesanovsky , Federico Carollo

The long-range interaction can fundamentally alter properties in gapped topological phases such as emergent massive edge modes. However, recent research has shifted attention to topological nontrivial critical points or phases, and it is…

Strongly Correlated Electrons · Physics 2024-08-16 Wen-Hao Zhong , Wei-Lin Li , Yong-Chang Chen , Xue-Jia Yu

The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional picture for entanglement scaling and…

Quantum Physics · Physics 2023-08-07 Guido Giachetti , Nicolo Defenu

Coherent many-body quantum dynamics lies at the heart of quantum simulation and quantum computation. Both require coherent evolution in the exponentially large Hilbert space of an interacting many-body system. To date, trapped ions have…

We examine a quantum heat engine with an interacting many-body working medium consisting of the long-range Kitaev chain to explore the role of long-range interactions in the performance of the quantum engine. By analytically studying two…

Quantum Physics · Physics 2020-07-22 Qian Wang

Thermodynamics of quantum systems out-of-equilibrium is very important for the progress of quantum technologies, however, the effects of many body interactions and their interplay with temperature, different drives and dynamical regimes is…

Quantum Physics · Physics 2020-01-08 A. H. Skelt , K. Zawadzki , I. D'Amico

Quasiparticle properties of quantum magnets with long-range interactions are investigated by high-order linked-cluster expansions in the thermodynamic limit. It is established that perturbative continuous unitary transformations on white…

Strongly Correlated Electrons · Physics 2016-09-06 S. Fey , K. P. Schmidt

Quantum many body systems with long range interactions are known to display many fascinating phenomena experimentally observable in trapped ions, Rydberg atoms and polar molecules. Among these are dynamical phase transitions which occur…

Statistical Mechanics · Physics 2019-11-11 Giulia Piccitto , Alessandro Silva

We address the equilibrium and out-of-equilibrium behavior of the particle density in many-body systems undergoing quantum transitions driven by the chemical potential $\mu$. They originate from a nontrivial interplay between noncritical…

Statistical Mechanics · Physics 2024-07-22 Davide Rossini , Ettore Vicari

We discuss how nonlocality originates in long-range quantum systems and how it affects their dynamics at and out of the equilibrium. We focus in particular on the Kitaev chains with long-range pairings and on the quantum Ising chain with…

Strongly Correlated Electrons · Physics 2017-04-14 L. Lepori , A. Trombettoni , D. Vodola

Long-range interacting systems exhibit unusual physical properties not shared by systems with short-range interactions. Understanding the dynamical and statistical effects of long-range interactions yields insights into a host of physical…

Soft Condensed Matter · Physics 2021-07-20 Zhenwei Yao

One- to three-dimensional hypercubic lattices half-filled with localized particles interacting via the long-range Coulomb potential are investigated numerically. The temperature dependences of specific heat, mean staggered occupation, and…

Condensed Matter · Physics 2007-05-23 A. Mobius , U. K. Roessler

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

Strongly Correlated Electrons · Physics 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

Understanding the emergence of novel collective behaviors in strongly interacting systems lies at the heart of quantum many-body physics. Valuable insight comes from examining how few-body correlations manifest in many-body systems,…

Quantum Gases · Physics 2026-05-04 Ning Sun , Lei Feng , Pengfei Zhang

We extend the theory of quantum quenches to the case of $d$-dimensional homogeneous systems with long range interactions. This is achieved treating the long range interactions as switched on by the quench and performing the derivation…

Statistical Mechanics · Physics 2025-09-24 Marianna Sorba , Nicolò Defenu , Gesualdo Delfino

Even though the evolution of an isolated quantum system is unitary, the complexity of interacting many-body systems prevents the observation of recurrences of quantum states for all but the smallest systems. For large systems one can not…

We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories, associated with invariant tori of the single-particle…

Statistical Mechanics · Physics 2009-01-12 Romain Bachelard , Cristel Chandre , Duccio Fanelli , Xavier Leoncini , Stefano Ruffo

External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition characterized by a change in behavior of the entanglement entropy from an area law to an unbounded growth. In this Letter, we show that…

Quantum Physics · Physics 2023-02-14 Alessio Paviglianiti , Alessandro Silva