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The notion of quantum matrix pairs is defined. These are pairs of matrices with non-commuting entries, which have the same pattern of internal relations, q-commute with each other under matrix multiplication, and are such that products of…

量子代数 · 数学 2007-05-23 J. E. Nelson , R. F. Picken

The quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate space…

强关联电子 · 物理学 2009-10-30 Yao-Zhong Zhang , Huan-Qiang Zhou

We consider quantum field theory on a spacetime representing the Big Crunch/Big Bang transition postulated in the ekpyrotic or cyclic cosmologies. We show via several independent methods that an essentially unique matching rule holds…

高能物理 - 理论 · 物理学 2009-11-07 Andrew J. Tolley , Neil Turok

In this paper we construct the continuous Matrix Product State (MPS) representation of the vacuum of the field theory corresponding to the continuous limit of an Ising model. We do this by exploiting the observation made by Hastings and…

统计力学 · 物理学 2022-09-22 Emanuele Tirrito , Neil J. Robinson , Maciej Lewenstein , Shi-Ju Ran , Luca Tagliacozzo

We investigate quantum phase transitions in which a change in the type of entanglement from bound entanglement to either free entanglement or separability may occur. In particular, we present a theoretical method to construct a class of…

量子物理 · 物理学 2010-04-08 S. Baghbanzadeh , S. Alipour , A. T. Rezakhani

Scattering processes in high-energy physics are inherently quantum mechanical, yet are typically analyzed at the level of final states, where entanglement appears as a property of the outcome rather than a consequence of the underlying…

高能物理 - 唯象学 · 物理学 2026-05-11 Wei Xie , Ji-Chong Yang

We introduce matrix quantum phase-space distributions. These extend the idea of a quantum phase-space representation via projections onto a density matrix of global symmetry variables. The method is applied to verification of low-loss…

量子物理 · 物理学 2025-03-18 Peter D. Drummond , Alexander S. Dellios , Margaret D. Reid

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size $N$ infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantum mechanics. The potential of the models…

高能物理 - 理论 · 物理学 2015-05-14 Tsunehide Kuroki , Fumihiko Sugino

There exists a stark tension among different formulations of quantum theory as some are inherently time-symmetric while others are time-asymmetric. This tension is crisply captured when considering physical theories as theories of…

量子物理 · 物理学 2024-11-12 John H. Selby , Maria E. Stasinou , Stefano Gogioso , Bob Coecke

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…

统计力学 · 物理学 2023-04-17 Bart Olsthoorn

Decoherence in many-body quantum systems can give rise to intrinsically mixed-state phases and phase transitions beyond the pure-state paradigm. Here we study the $(2+1)$D transverse-field Ising model subject to a strongly…

量子物理 · 物理学 2026-03-26 Yi-Ming Ding , Yuxuan Guo , Zhen Bi , Zheng Yan

In recent years, the BCFW construction provided a very powerful tool for computing scattering amplitudes as well as it shed light on the perturbation theory structure. In this talk, we discuss the long-standing issue of the boundary term…

高能物理 - 理论 · 物理学 2016-01-20 Paolo Benincasa

We propose a numerical method of estimating various physical quantities in lattice (supersymmetric) quantum mechanics. The method consists only of deterministic processes such as computing a product of transfer matrix, and has no…

高能物理 - 格点 · 物理学 2018-07-04 Daisuke Kadoh , Katsumasa Nakayama

We formulate a new quantization principle for perturbative quantum field theory, based on a minimally non time-ordered product, and show that it gives the theories of physical particles and purely virtual particles. Given a classical…

高能物理 - 理论 · 物理学 2022-12-20 Damiano Anselmi

The standard S-matrix formulation cannot generally be used in the treatment of atomic scattering processes, involving bound-state QED effects, due to the special type of singularity that can here appear. This type of singularity can be…

量子物理 · 物理学 2014-06-18 Ingvar Lindgren , Sten Salomonson , Johan Holmberg

In this work we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here we…

高能物理 - 理论 · 物理学 2017-04-06 D. Bazeia , F. S. Bemfica

In this paper, we give random matrix theory approach to the quantum mechanics using the quantum Hamilton-Jacobi formalism. We show that the bound state problems in quantum mechanics are analogous to solving Gaussian unitary ensemble of…

量子物理 · 物理学 2015-01-28 K. V. S. Shiv Chaitanya

We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of…

高能物理 - 理论 · 物理学 2008-11-26 Gleb Arutyunov , Sergey Frolov

We study the unitary time evolution of a simple quantum Hamiltonian describing two harmonic oscillators coupled via a three-level system. The latter acts as an engine transferring energy from one oscillator to the other and is driven in a…

量子物理 · 物理学 2015-04-01 Winny O'Kelly de Galway , Jan Naudts

We analyze terms subleading to Rutherford in the $S$-matrix between black hole and probes of successively high energies. We show that by an appropriate choice of the probe one can read off the quantum state of the black hole from the…

高能物理 - 理论 · 物理学 2009-10-30 Justin R. David , Avinash Dhar , Gautam Mandal , Spenta R. Wadia
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