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We study the impurity entanglement entropy $S_e$ in quantum impurity models that feature a Kondo-destruction quantum critical point (QCP) arising from a pseudogap in the conduction-band density of states or from coupling to a bosonic bath.…

Strongly Correlated Electrons · Physics 2015-12-09 J. H. Pixley , Tathagata Chowdhury , M. T. Miecnikowski , Jaimie Stephens , Christopher Wagner , Kevin Ingersent

Recently pseudo-critical temperature clues were observed in one-dimensional spin models, such as the Ising-Heisenberg spin models, among others. Here we report a relationship between the zero-temperature phase boundary residual entropy…

Statistical Mechanics · Physics 2024-02-21 Onofre Rojas

We consider the behaviour of a critical system in the presence of a gradient perturbation of the couplings. In the direction of the gradient an interface region separates the ordered phase from the disordered one. We develop a scaling…

Other Condensed Matter · Physics 2009-10-06 Thierry Platini , Dragi Karevski , Loïc Turban

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

Statistical Mechanics · Physics 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

Understanding the limitations imposed by noise on current and next-generation quantum devices is a crucial step towards demonstrating practical quantum advantage. In this work, we investigate the accumulation of entropy density as a…

Quantum Physics · Physics 2026-01-16 Marine Demarty , James Mills , Kenza Hammam , Raul Garcia-Patron

We argue that the requirement of a finite entanglement entropy of quantum degrees of freedom across a boundary surface is closely related to the phenomenon of running spectral dimension, universal in approaches to quantum gravity. If…

High Energy Physics - Theory · Physics 2017-10-18 Michele Arzano , Gianluca Calcagni

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

High Energy Physics - Theory · Physics 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models, as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively…

Statistical Mechanics · Physics 2010-02-22 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix. In this paper, we study the…

Disordered Systems and Neural Networks · Physics 2020-09-24 Nicolai Lang , Hans Peter Büchler

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

We extend the program initiated in [T. Werlang et al., Phys. Rev. Lett. 105, 095702 (2010)] in several directions. Firstly, we investigate how useful quantum correlations, such as entanglement and quantum discord, are in the detection of…

Quantum Physics · Physics 2015-05-27 T. Werlang , G. A. P. Ribeiro , Gustavo Rigolin

We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a fermionic observable and compute its scaling limit by discrete…

Mathematical Physics · Physics 2011-07-07 Clément Hongler , Stanislav Smirnov

We study the quantum criticality of the Lifshitz $\varphi^4$-theory below the upper critical dimension. Two fixed points, one Gaussian and the other non-Gaussian, are identified with zero and finite interaction strengths, respectively. At…

Strongly Correlated Electrons · Physics 2017-09-06 Jianda Wu , Fei Zhou , Congjun Wu

We study the scaling behavior of fidelity susceptibility density $(\chi_{\rm f})$ at or close to an anisotropic quantum critical point characterized by two different correlation length exponents $\nu_{||}$ and $\nu_{\bot}$ along parallel…

Statistical Mechanics · Physics 2011-06-20 Victor Mukherjee , Amit Dutta

Entropy generation in quantum sytems is tied to the existence of a nonclassical environment (heat bath or other) with which the system interacts. The continuous `measuring' of the open system by its environment induces decoherence of its…

Quantum Physics · Physics 2007-05-23 Hans-Thomas Elze

In this paper, we discuss the connection between two genuinely quantum phenomena --- the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum…

Quantum Physics · Physics 2015-08-14 Jianxin Chen , Zhengfeng Ji , Chi-Kwong Li , Yiu-Tung Poon , Yi Shen , Nengkun Yu , Bei Zeng , Duanlu Zhou

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo