English
Related papers

Related papers: Universal Behavior of Entanglement in 2D Quantum C…

200 papers

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

Statistical Mechanics · Physics 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

Statistical Mechanics · Physics 2015-06-22 J. C. Xavier , F. B. Ramos

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

High Energy Physics - Theory · Physics 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

Strongly Correlated Electrons · Physics 2013-10-08 Stephen Inglis , Roger G. Melko

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip…

Strongly Correlated Electrons · Physics 2017-12-13 Michael P. Zaletel , Jens H. Bardarson , Joel E. Moore

Local relevant deformations are important tool to study universal properties of quantum critical points. We investigate the effect of small relevant deformations on the bi-partite entanglement entropy at the quantum critical points. Within…

Strongly Correlated Electrons · Physics 2025-07-15 Rui-Zhen Huang , Chen Peng

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

In a D=2+1 quantum critical system, the entanglement entropy across a boundary with a corner contains a subleading logarithmic scaling term with a universal coefficient. It has been conjectured that this coefficient is, to leading order,…

Strongly Correlated Electrons · Physics 2014-12-10 E. M. Stoudenmire , Peter Gustainis , Ravi Johal , Stefan Wessel , Roger G. Melko

We introduce the (logarithmic) bipartite fidelity of a quantum system $A\cup B$ as the (logarithm of the) overlap between its ground-state wave function and the ground-state one would obtain if the interactions between two complementary…

Strongly Correlated Electrons · Physics 2011-03-29 Jérôme Dubail , Jean-Marie Stéphan

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

Quantum Gases · Physics 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a sub-leading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this…

Strongly Correlated Electrons · Physics 2014-06-30 Ann B. Kallin , E. M. Stoudenmire , Paul Fendley , Rajiv R. P. Singh , Roger G. Melko

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin

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

We investigate the critical behavior of momentum-space entanglement entropy at dynamical quantum phase transitions (DQPTs) in translationally invariant two-band insulators and superconductors. By analyzing the Su-Schrieffer-Heeger model,…

Quantum Physics · Physics 2026-04-10 Kaiyuan Cao , Mingzhi Li , Xiang-Ping Jiang , Shu Chen , Jian Wang

We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

Strongly Correlated Electrons · Physics 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

Strongly Correlated Electrons · Physics 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'{e}-Harper model with p-wave pairing, which have rarely been exploited as most investigations focus…

Disordered Systems and Neural Networks · Physics 2022-10-19 Ting Lv , Yu-Bin Liu , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You
‹ Prev 1 2 3 10 Next ›