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We investigate signatures of quantum chaos within Ising spin chains subjected to transverse and longitudinal fields, incorporating both local (nearest-neighbor) and non-local (long-range) couplings. While local Ising models may exhibit…

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

We study the role of long-range interactions on the non-equilibrium dynamics considering a long-range Kitaev chain in which superconducting term decays with distance between two sites in a power-law fashion characterised by an exponent…

统计力学 · 物理学 2017-10-18 Anirban Dutta , Amit Dutta

The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster rate, the short-range behaviour is…

统计力学 · 物理学 2019-12-05 Somnath Maity , Utso Bhattacharya , Amit Dutta

We analyze the quantum phases, correlation functions and edge modes for a class of spin-1/2 and fermionic models related to the 1D Ising chain in the presence of a transverse field. These models are the Ising chain with anti-ferromagnetic…

强关联电子 · 物理学 2015-12-29 Davide Vodola , Luca Lepori , Elisa Ercolessi , Guido Pupillo

The non-equilibrium response of a quantum many-body system defines its fundamental transport properties and how initially localized quantum information spreads. However, for long-range-interacting quantum systems little is known. We address…

量子物理 · 物理学 2013-11-15 Philipp Hauke , Luca Tagliacozzo

We discuss the quantum dynamics of an isolated composite system consisting of weakly interacting many-body subsystems. We focus on one of the subsystems, S, and study the dependence of its quantum correlations and decoherence rate on the…

统计力学 · 物理学 2023-01-25 Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We propose and analyze a generalization of the Kitaev chain for fermions with long-range $p$-wave pairing, which decays with distance as a power-law with exponent $\alpha$. Using the integrability of the model, we demonstrate the existence…

强关联电子 · 物理学 2014-10-15 Davide Vodola , Luca Lepori , Elisa Ercolessi , Alexey V. Gorshkov , Guido Pupillo

Very few topological systems with long-range couplings have been considered so far due to our lack of analytic approaches. Here we extend the Kitaev chain, a 1D quantum liquid, to infinite-range couplings and study its topological…

强关联电子 · 物理学 2020-08-26 Kristian Patrick , Titus Neupert , Jiannis K. Pachos

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…

统计力学 · 物理学 2024-07-22 Davide Rossini , Ettore Vicari

The entanglement and quantum correlation measures have been investigated for the ground state of a spin chain with a Kitaev-type exchange interactions on alternating bonds, along with a transverse magnetic field. There is a macroscopic…

量子物理 · 物理学 2018-11-14 Vimalesh Kumar Vimal , V. Subrahmanyam

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general features associated to the presence of…

强关联电子 · 物理学 2022-10-18 Gianluca Francica , Luca Dell'Anna

We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent, $\alpha$. It is well known that distinctive characteristics on the nonequilibrium dynamics of a closed quantum system are closely related to the…

统计力学 · 物理学 2020-08-28 Utkarsh Mishra , R. Jafari , Alireza Akbari

We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $\alpha$, which can be experimentally realized in ion traps. We focus on two classes of emergent…

量子气体 · 物理学 2018-04-04 Bojan Zunkovic , Markus Heyl , Michael Knap , Alessandro Silva

Long lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and…

量子物理 · 物理学 2021-08-20 Nicolò Defenu

We consider a dynamic protocol for quantum many-body systems, which enables to study the interplay between unitary Hamiltonian driving and random local projective measurements. While the unitary dynamics tends to increase entanglement,…

统计力学 · 物理学 2020-07-15 Davide Rossini , Ettore Vicari

Few-site Kitaev chains are promising for realizing Majorana zero modes without topological protection but fully nonlocal, which are known as poor man's Majorana modes. While several signatures have already been reported both theoretically…

介观与纳米尺度物理 · 物理学 2024-09-06 Jorge Cayao

Nonlinear modifications of quantum mechanics generically lead to nonlocal effects which violate relativistic causality. We study these effects using the functional Schrodinger equation for quantum fields and identify a type of nonlocality…

高能物理 - 理论 · 物理学 2015-06-18 Chiu Man Ho , Stephen D. H. Hsu

We investigate the effect of short-range correlations on the dynamical phase diagram of quantum many-body systems with long-range interactions. Focusing on Ising spin chains with power-law decaying interactions and accounting for…

统计力学 · 物理学 2019-11-13 Giulia Piccitto , Bojan Žunkovič , Alessandro Silva

Long-range quantum lattice systems often exhibit drastically different behavior than their short-range counterparts. In particular, because they do not satisfy the conditions for the Lieb-Robinson theorem, they need not have an emergent…

量子气体 · 物理学 2016-04-28 Mohammad F. Maghrebi , Zhe-Xuan Gong , Michael Foss-Feig , Alexey V. Gorshkov
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