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Fluctuations of conserved quantities within a subsystem are non-local observables that provide unique insights into quantum many-body systems. In this paper, we study bipartite charge (and spin) fluctuations across interaction-driven…

Strongly Correlated Electrons · Physics 2025-08-11 Xiao-Chuan Wu

One of the problems concerning topological phases in solid-state systems which still remains urgent is an issue of many-body effects. In this study we address it within perturbative theory framework by considering topological phase…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 M. S. Shustin , S. V. Aksenov , I. S. Burmistrov

We investigate in detail the behavior of the bipartite fluctuations of particle number $\hat{N}$ and spin $\hat{S}^z$ in many-body quantum systems, focusing on systems where such U(1) charges are both conserved and fluctuate within…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 H. Francis Song , Stephan Rachel , Christian Flindt , Israel Klich , Nicolas Laflorencie , Karyn Le Hur

We show that the concept of bipartite fluctuations F provides a very efficient tool to detect quantum phase transitions in strongly correlated systems. Using state of the art numerical techniques complemented with analytical arguments, we…

Strongly Correlated Electrons · Physics 2012-03-13 Stephan Rachel , Nicolas Laflorencie , H. Francis Song , Karyn Le Hur

We establish the quantum fluctuations $\Delta Q_B^2$ of the charge $Q_B$ accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for…

We introduce a quantum information method for measuring fractional charges in ballistic quantum wires generalizing bipartite fluctuations to the chiral quasiparticles in Luttinger liquids, i.e. analyzing and summing charge and current…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Magali Korolev , Karyn Le Hur

We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements that conserve a total $U(1)$ charge and thus have $U(1)$ symmetry. In addition to a measurement-induced entanglement transition…

Disordered Systems and Neural Networks · Physics 2023-01-31 Hisanori Oshima , Yohei Fuji

Bipartite fluctuations can provide interesting information about entanglement properties and correlations in many-body quantum systems. We address such fluctuations in relation with the topology of Dirac and Weyl quantum systems, in…

Strongly Correlated Electrons · Physics 2019-02-27 Loïc Herviou , Karyn Le Hur , Christophe Mora

Measuring bipartite fluctuations of a conserved charge, such as the particle number, is a powerful approach to understanding quantum systems. When the measured region has sharp corners, the bipartite fluctuation receives an additional…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Pok Man Tam , Jonah Herzog-Arbeitman , Jiabin Yu

We study the order parameter phase fluctuation effects in cuprate superconductors near T=0, using a quasi-two-dimensional d-wave BCS model. An effective phason theory is obtained which is used to estimate the strength of the fluctuations,…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey , P. J. Hirschfeld

We study the phase fluctuations in the normal state of generic two-dimensional superconducting systems with s-wave pairing. The effect of phase fluctuations of the pairing fields can be dealt with perturbatively using disorder averaging,…

Superconductivity · Physics 2023-06-02 Xu-Cheng Wang , Yang Qi

Phase fluctuations of the superconducting order parameter play a larger role in the cuprates than in conventional BCS superconductors because of the low superfluid density of a doped insulator. In this paper, we analyze an XY model of…

Superconductivity · Physics 2009-10-31 E. W. Carlson , S. A. Kivelson , V. J. Emery , E. Manousakis

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

By using a Path Integral formalism, we study the fluctuating fields in the order parameter for a 3D uniform Fermi gas at T<Tc. The BCS-BEC crossover condition is included into the analysis in the framework of the usual s-wave scattering…

Strongly Correlated Electrons · Physics 2011-07-01 H. Vivas

We introduce valence bond fluctuations, or bipartite fluctuations associated to bond-bond correlation functions, to characterize quantum spin liquids and their entanglement properties. Using analytical and numerical approaches, we find an…

Strongly Correlated Electrons · Physics 2020-01-08 Fan Yang , Kirill Plekhanov , Karyn Le Hur

Comparing proposed quantities to analyze charged particle fluctuations in heavy ion experiments we find the dispersion of the charges in a central rapidity box as best suited. Various energies and different nuclear sizes were considered in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fritz W. Bopp , Johannes Ranft

We witness multipartite entanglement in the Kitaev chain -- a benchmark model of one dimensional topological insulator -- also with variable-range pairing, using the quantum Fisher information. Phases having a finite winding number, both…

Quantum Physics · Physics 2017-12-27 Luca Pezzè , Marco Gabbrielli , Luca Lepori , Augusto Smerzi

We present a theory of the interplane conductivity of bilayer high temperature superconductors, focusing on the effect of quantal and thermal fluctuations on the oscillator strengths of the superfluid stiffness and the bilayer plasmon. We…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shah , A. J. Millis

The universal conductance fluctuations (UCFs), one of the most important manifestations of mesoscopic electronic interference, have not yet been demonstrated for the two-dimensional surface state of topological insulators (TIs). Even if one…

Mesoscale and Nanoscale Physics · Physics 2012-08-14 Zhaoguo Li , Taishi Chen , Haiyang Pan , Fengqi Song , Baigeng Wang , Junhao Han , Yuyuan Qin , Xuefeng Wang , Rong Zhang , Jianguo Wan , Dingyu Xing , Guanghou Wang

This article reviews the current status of precursor superconducting phase fluctuations as a possible mechanism for pseudogap formation in high-temperature superconductors. In particular we compare this approach which relies on the…

Superconductivity · Physics 2007-05-23 Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov
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