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The $1+1$ dimensional $Z_2$ gauge theory is the simplest model that allows for quantum computation or quantum simulation to probe the fundamental aspects of a gauge theory coupled with dynamical fermions. To reliably benchmark such a…

We introduce a many-body topological invariant, called the topological disorder parameter (TDP), to characterize gapped quantum phases with global internal symmetry in (2+1)d. TDP is defined as the constant correction that appears in the…

Strongly Correlated Electrons · Physics 2022-09-15 Bin-Bin Chen , Hong-Hao Tu , Zi Yang Meng , Meng Cheng

A general inequality between entanglement entropy and a number of topologically ordered states is derived, even without using the properties of the parent Hamiltonian or the formalism of topological quantum field theory. Given a quantum…

Quantum Physics · Physics 2013-10-03 Isaac H. Kim

In a recent paper, arXiv:1309.4877, a holographic p-wave model has been proposed in an Einstein-Maxwell-complex vector field theory with a negative cosmological constant. The model exhibits rich phase structure depending on the mass and the…

High Energy Physics - Theory · Physics 2015-02-25 Li-Fang Li , Rong-Gen Cai , Li Li , Chao Shen

We find that the topological phase transition in a chiral ladder is characterized by dramatic signatures in many body entanglement entropy between the legs, close to half-filling. The value of entanglement entropy for various fillings close…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Ritu Nehra , Devendra Singh Bhakuni , Suhas Gangadharaiah , Auditya Sharma

Structure in quantum entanglement entropy is often leveraged to focus on a small corner of the exponentially large Hilbert space and efficiently parameterize the problem of finding ground states. A typical example is the use of matrix…

Statistical Mechanics · Physics 2023-04-17 Bart Olsthoorn

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

Topologically ordered phases of matter can be characterized by the presence of a universal, constant contribution to the entanglement entropy known as the topological entanglement entropy (TEE). The TEE can been calculated for Abelian…

Strongly Correlated Electrons · Physics 2020-07-13 Ramanjit Sohal , Bo Han , Luiz H. Santos , Jeffrey C. Y. Teo

We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that,…

Strongly Correlated Electrons · Physics 2010-01-05 Steven T. Flammia , Alioscia Hamma , Taylor L. Hughes , Xiao-Gang Wen

We show how to measure the order-two Renyi entropy of many-body states of spinful fermionic atoms in an optical lattice in equilibrium and non-equilibrium situations. The proposed scheme relies on the possibility to produce and couple two…

Quantum Gases · Physics 2013-06-10 Hannes Pichler , Lars Bonnes , Andrew J. Daley , Andreas M. Läuchli , Peter Zoller

In contrast to abstract statistical analyses in the literature, we present a concrete physical diagrammatic model of entanglement characterization and measure with its underlying discrete phase-space physics. This paper serves as a…

Quantum Physics · Physics 2023-05-30 Felix A. Buot

We demonstrate that linear combinations of subregion entropies with canceling boundary terms, commonly used to calculate the topological entanglement entropy, may suffer from spurious nontopological contributions even in models with zero…

Quantum Physics · Physics 2020-04-16 Dominic J. Williamson , Arpit Dua , Meng Cheng

We calculate exactly the von Neumann and topological entropies of the toric code as a function of system size and temperature. We do so for systems with infinite energy scale separation between magnetic and electric excitations, so that the…

Strongly Correlated Electrons · Physics 2007-11-30 C. Castelnovo , C. Chamon

Recent years have witnessed a surge of interest in performing measurements within topological phases of matter, e.g., symmetry-protected topological (SPT) phases and topological orders. Notably, measurements of certain SPT states have been…

Strongly Correlated Electrons · Physics 2023-10-30 Yabo Li , Mikhail Litvinov , Tzu-Chieh Wei

Motivated by the limited understanding of entanglement entropy in non-asymptotically AdS spacetimes, we develop a framework in which a circular string is embedded as a quantum probe in a spherically symmetric curved spacetime, and its…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ai-chen Li , Xin-Fei Li , Xuanting Ji

Entanglement measures have emerged as one of the versatile probes to diagnose quantum phases and their transitions. Universal features in them expand their applicability to a range of systems, including those with quenched disorder. In this…

Disordered Systems and Neural Networks · Physics 2024-07-18 Subrata Pachhal , Adhip Agarwala

Nanowires of BiSe show topological states localized near the surface of the material. The topological nature of these states can be analyzed using well-known quantities. In this paper, we calculate the topological entropy suggested by…

Quantum Physics · Physics 2023-08-04 Nicolás Legnazzi , Omar Osenda

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

High Energy Physics - Theory · Physics 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

We here investigate the entanglement structure of the ground state of a (3+1)-dimensional U(1) quantum spin liquid, which is described by the deconfined phase of a compact U(1) gauge theory. A gapless photon is the only low-energy…

Strongly Correlated Electrons · Physics 2017-06-14 Michael Pretko , T. Senthil