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The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the…

Quantum Physics · Physics 2024-07-25 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukan , Aditi Sen De

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

We study the concept of entanglement distance between two quantum states which quantifies the amount of information shared between their reduced density matrices (RDMs). Using analytical arguments combined with…

Strongly Correlated Electrons · Physics 2017-10-18 Mohammad-Sadegh Vaezi , Abolhassan Vaezi

We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also provide an introductory and self-contained discussion of the…

Quantum Physics · Physics 2019-10-08 Ryan Sweke , Jens Eisert , Michael Kastner

Systems with topologically protected ground-state degeneracies are currently of great interest due to their potential applications in quantum computing. In practise this degeneracy is never exact, and the magnitude of the ground-state…

Strongly Correlated Electrons · Physics 2016-03-23 Chun Chen , F. J. Burnell

We consider a harmonically trapped few-Boson system under rotation and investigate the ground state properties beyond the usual ``lowest Landau level'' approximation by using exact diagonalizations in a restricted Hilbert subspace. We find…

Statistical Mechanics · Physics 2007-05-23 Xiaji Liu , Hui Hu , Lee Chang , Shi-Qun Li

Manipulating many body quantum systems is a challenge. A useful way to achieve it would be to entangle the system to a diluted system, with a small particle number. Preparation of such entangled states can be facilitated as ground state of…

Statistical Mechanics · Physics 2022-04-27 Ohad Shpielberg

We have studied the ground state of the two-dimensional (2D) Hubbard model by using a quantum monte method paying special attention to the shell structure effect on finite size clusters. Our calculations show there is a gap for spin…

Strongly Correlated Electrons · Physics 2007-05-23 Yoshihiro ASAI

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…

Statistical Mechanics · Physics 2017-10-18 Anirban Dutta , Amit Dutta

By using long-range interacting polygons, we experimentally probe the coupling between particle shape and long-range interaction. For two typical space-filling polygons, square and triangle, we find two types of coupling modes that…

Soft Condensed Matter · Physics 2020-08-06 Can-can Zhou , Hongchuan Shen , Hua Tong , Ning Xu , Peng Tan

In this paper, we consider a high-curvature limit of the varying fundamental constants toy model in which both the value of the speed of light and the value of the gravitational constant are related to the values of the two non-minimally…

General Relativity and Quantum Cosmology · Physics 2022-08-29 Adam Balcerzak , Mateusz Lisaj

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

Disordered Systems and Neural Networks · Physics 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Dephasing is the loss of phase coherence due to the interaction of an electron with the environment. The most common approach to model dephasing in light-matter interaction is the relaxation time approximation. Surprisingly, its use in…

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…

Quantum Physics · Physics 2013-11-15 Philipp Hauke , Luca Tagliacozzo

The q-state Potts model with long-range interactions that decay as 1/r^alpha subjected to an uniform magnetic field on d-dimensional lattices is analized for different values of q in the nonextensive regime (alpha between 0 and d). We also…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. A. Cannas , A. C. N. de Magalhaes , F. A. Tamarit

We propose a perturbative-variational approach to interacting fermion systems on 1D and 2D lattices at half-filling. We address relevant issues such as the existence of Long Range Order, quantum phase transitions and the evaluation of…

Condensed Matter · Physics 2007-05-23 Miguel A. Martin-Delgado , German Sierra

We consider a strong coupling expansion for a two-band Hubbard model on two sites with nearly degenerate states. A comparative analysis is performed for different schemes of perturbation theory which are applicable to systems with nearly…

Strongly Correlated Electrons · Physics 2012-08-30 Raymond Fresard , Christian Hackenberger , Thilo Kopp

We investigate the stability of weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions, focusing on the tenfold way classification. Using Atiyah's Real $\mathit{KR}$-theory and Anderson-dualized…

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anti-commuting operators and generalize a long-range Lieb-Robinson type bound. Our…

Quantum Physics · Physics 2017-09-15 Senaida Hernández-Santana , Christian Gogolin , J. Ignacio Cirac , Antonio Acín

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

Strongly Correlated Electrons · Physics 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo
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