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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Many-body localization and quantum many-body scars: The strong and weak form of ergodicity breaking
多体定位 量子多体疤痕 遍历性断裂 强弱形式
2023/4/23
The fate of an isolated quantum many-body system has attracted much attention in the past decade. One of the most important issues is whether such a system can reach thermalization under its own dynam...
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
Glueballs in large-N YM by localization on critical points
Glueballs large-N YM critical points High Energy Physics - Theory
2011/10/9
Abstract: By exploiting in large-N YM the change of variables from the gauge connection to the ASD part of its curvature by a non-SUSY version of the Nicolai map, we show that certain twistor Wilson l...
Understanding the Random Displacement Model: From Ground-State Properties to Localization
the Random Displacement Model Ground-State Properties Localization
2011/8/23
Abstract: We give a detailed survey of results obtained in the most recent half decade which led to a deeper understanding of the random displacement model, a model of a random Schr\"odinger operator ...
Abstract: We study the motion of M particles performing a quantum walk on the line. Under various conditions on the initial coin states for quantum walkers controlled by the Hadamard operator, we give...
Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems
Direct Scaling Analysis disordered systems Multi-particle lattice systems
2011/7/26
Direct Scaling Analysis of localization in disordered systems. II. Multi-particle lattice systems.
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
Higher rank stable pairs and virtual localization
Higher rank stable pairs virtual localization
2010/12/27
We introduce a higher rank analog of the Pandharipande-Thomas theory of stable pairs on a Calabi-Yau threefold $X$. More precisely, we develop a moduli theory for frozen triples given by the data $O^...
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
Generalized Inverse Participation Ratio Interacting Systems
2010/11/17
We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the ...
De Sitter brane-world, localization of gravity, and the cosmological constant
De Sitter brane-world localization of gravity cosmological constant
2010/12/21
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional de Sitter spacetime
(dS5) give rise to a finite 4D Planck mass similar to that in Randall-Sundrum (RS) brane-world
models ...
Commensurability effects in one-dimensional Anderson localization: anomalies in eigenfunction statistics
Commensurability effects eigenfunction statistics
2010/11/18
The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with uncorrelated Gaussian disorder in the on-site energies, has statistical anomalies at any rational point f = 2a E , where ...
Uncertainty related to position and momentum localization of a quantum state
Uncertainty related position momentum localization quantum state
2010/11/5
This paper presents the uncertainty related to position and momentum localization of a quantum state in terms of entropic uncertainty relations. We slightly improve the inequality given in [Phys. Rev....
Intrinsic coherence dynamics and phase localization in Aharonov-Bohm Interferometers
Intrinsic coherence dynamics phase localization Aharonov-Bohm Interferometers
2010/11/11
The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the ex...
Unstructured Randomness, Small Gaps and Localization
Unstructured Randomness Small Gaps Localization
2010/10/29
We study the Hamiltonian associated with the quantum adiabatic algorithm with a random cost function. Because the cost function lacks structure we can prove results about the ground state. We find th...