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Many protocols of quantum information processing use entangled states. Hence, separability criteria are of great importance. We propose new separability conditions for a bipartite finite-dimensional system. They are derived by using…

Quantum Physics · Physics 2016-06-23 Alexey E. Rastegin

In order to analyze the effect of chaos or order on the rate of decoherence in a subsystem, we aim to distinguish effects of the two types of dynamics by choosing initial states as random product states from two factor spaces representing…

Quantum Physics · Physics 2009-11-07 Thomas Gorin , Thomas H. Seligman

Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that is characterized by vanishing normalized infinite-wavelength density fluctuations similar to a perfect crystal, yet possesses an amorphous…

Soft Condensed Matter · Physics 2021-10-27 Yang Jiao

Hyperuniformity characterizes a state of matter that is poised at a critical point at which density or volume-fraction fluctuations are anomalously suppressed at infinite wavelengths. Recently, much attention has been given to the link…

Statistical Mechanics · Physics 2016-08-03 Steven Atkinson , Ge Zhang , Adam B. Hopkins , Salvatore Torquato

Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in patterns and is relevant across diverse physical systems. We…

Soft Condensed Matter · Physics 2025-09-09 Abel H. G. Milor , Otto Sumray , Heather A. Harrington , Axel Voigt , Marco Salvalaglio

This paper introduces a novel approach to multi-parameter persistence using 2-categorical structures. We develop a framework that captures hierarchical interactions between filter parameters, overcoming fundamental limitations of…

Algebraic Topology · Mathematics 2025-08-06 Mauricio Angel

Coherent structures emerge from the dynamics of many kinds of dissipative, externally driven, nonlinear systems, and continue to provoke new questions that challenge our physical and mathematical understanding. In one specific sub-class of…

Pattern Formation and Solitons · Physics 2010-08-24 Jonathan Dawes

Heterogeneous bipartite quantum pure states, composed of two subsystems with a different number of levels, cannot have both reductions maximally mixed. In this work, we demonstrate existence of a wide range of highly entangled states of…

Quantum Physics · Physics 2016-08-06 D. Goyeneche , J. Bielawski , K. Życzkowski

Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patters obtained by a superposition of randomly arranged sources of Bessel beams…

Electron pairing at low temperatures leads to superconductivity. A fundamental question is whether more complex states - characterized by order in four-electron composite objects, termed electron quadrupling or composite order - can exist…

Superconductivity · Physics 2026-02-23 Albert Samoilenka , Egor Babaev

We present a comprehensive discussion on nonunitary superconductivity in complex quantum materials. Starting with a brief review of the notion of nonunitary superconductivity, we discuss its spectral signatures in simple models with only…

Superconductivity · Physics 2022-06-15 Aline Ramires

Natural materials often feature a combination of soft and stiff phases, arranged to achieve excellent mechanical properties, such as high strength and toughness. Many natural materials have even independently evolved to have similar…

Soft Condensed Matter · Physics 2025-07-03 Chelsea Fox , Kyrillos Bastawros , Tommaso Magrini , Chiara Daraio

Complex band structure generalizes conventional band structure by also considering wavevectors with complex components. In this way, complex band structure describes both the bulk-propagating states from conventional band structure and the…

Materials Science · Physics 2017-07-20 Matthew G. Reuter

Hyperuniform point patterns are characterized by vanishing infinite wavelength density fluctuations and encompass all crystal structures, certain quasi-periodic systems, and special disordered point patterns. This article generalizes the…

Statistical Mechanics · Physics 2015-05-14 Chase E. Zachary , Salvatore Torquato

We present designs of 2D isotropic, disordered photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest gaps are obtained by a constrained optimization method that…

Optics · Physics 2010-07-22 Marian Florescu , Salvatore Torquato , Paul J. Steinhardt

We argue that several materials of much current interest in condensed matter physics share common phenomenological aspects that only very recent investigations are unveiling. The list includes colossal magnetoresistance manganites, high…

Strongly Correlated Electrons · Physics 2009-11-10 G. Alvarez , E. Dagotto

In this talk, we report unitarity constraints and phenomenological studies at the Large Hadron Collider for the extra Higgs bosons of a Composite 2-Higgs Doublet Model.

High Energy Physics - Phenomenology · Physics 2016-12-16 Stefania De Curtis , Stefano Moretti , Kei Yagyu , Emine Yildirim

Impurities, defects, and other types of imperfections are ubiquitous in realistic quantum many-body systems and essentially unavoidable in solid state materials. Often, such random disorder is viewed purely negatively as it is believed to…

Strongly Correlated Electrons · Physics 2019-03-21 Thomas Vojta

Discovering and categorizing quantum orders in mixed many-body systems are currently one of the most important problems. Specific types of decoherence applied to typical quantum many-body states can induce a novel kind of mixed state…

Quantum Physics · Physics 2025-05-06 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

A new hierarchy of separability conditions for bipartite states is obtained. All the conditions in the hierarchy are necessary for separability. The conditions are expressed in terms of higher powers of the density operator of the bipartite…

Quantum Physics · Physics 2010-06-10 S. Sivakumar
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