Abstract In this presentation, I will explore the challenges and methodologies associated with proving the presence of spectral gaps in quantum many-body systems, with a focus on the 1D AKLT model. Spectral gaps are central in...
Z.N.C. Ha, Quantum Many-Body Systems in One Dimension, Advances in Statistical Mechanics, vol. 12, World Scientific, Singapore, 1996.Z.N.C. Ha, Quantum Many-body Systems in One Dimension, Advances in Statistical Mechanics, vol. 12, World Scientific, Singapore, 1996....
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How do closed quantum many-body systems driven out of equilibrium eventually achieve equilibration? And how do these systems thermalize, given that they comprise so many degrees of freedom? Progress in answering these—and related—questions has accelerated in recent years—a trend that can be parti...
Given a fundamental theory describing a quantum many-body system, one often needs to obtain a concise description of its low-energy dynamics by integrating out high-energy degrees of freedom. The Schrieffer–Wolff (SW) method accomplishes this task by constructing a unitary transformation that decou...
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explo...
Many previous experimental cQED studies have focused on regimes in which a small number of identical emitters interact with a weak external drive3,4,5,6, such that the system can be described with simple, effective models. However, the dynamics of a disordered, many-body quantum system subject...
The pair distribution function (PDF) is a key quantity for the analysis of correlation effects of a quantum system both in equilibrium and far from equilib... M Bonitz,S Hermanns,K Kobusch,... - arXiv 被引量: 4发表: 2012年 Quantum many-body systems out of equilibrium How do closed qu...
With only Hydrogen atom, N=1, it becomes a one-body problem with exact solution. While even for N=2 scenario, the Helium atom, there is no known exact analytical solution. Let us look at these more advanced topics: How many qubits make it possible to solve the many-body equations of...
(t < tTh) is a signature ofmany-bodyquantum chaotic systems.cThe nearest-neighbour spacing distributionP(δ) of a spin − 1/2 many-body system withN = 9 atoms trapped inM = 3 wells and driven according to two-step protocol with a period ofT = 1 (blue) ...