11,745 research outputs found

    Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

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    Integrable Kondo impurities in two cases of the one-dimensional t−Jt-J model are studied by means of the boundary Z2{\bf Z}_2-graded quantum inverse scattering method. The boundary KK matrices depending on the local magnetic moments of the impurities are presented as nontrivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, these models are solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.Comment: 14 pages, RevTe

    Application of Instantons: Quenching of Macroscopic Quantum Coherence and Macroscopic Fermi-Particle Configurations

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    Starting from the coherent state representation of the evolution operator with the help of the path-integral, we derive a formula for the low-lying levels E=ϵ0−2△ϵcos(s+ξ)πE = \epsilon_0 - 2\triangle\epsilon cos (s+\xi)\pi of a quantum spin system. The quenching of macroscopic quantum coherence is understood as the vanishing of cos(s+ξ)πcos (s+\xi)\pi in disagreement with the suppression of tunneling (i.e. △ϵ=0\triangle\epsilon = 0) as claimed in the literature. A new configuration called the macroscopic Fermi-particle is suggested by the character of its wave function. The tunneling rate ((2△ϵ)/(π)(2\triangle\epsilon)/(\pi)) does not vanish, not for integer spin s nor for a half-integer value of s, and is calculated explicitly (for the position dependent mass) up to the one-loop approximation.Comment: 13 pages, LaTex, no figure

    Geoarchaeological evidence of the AD 1642 Yellow River flood that destroyed Kaifeng, a former capital of dynastic China

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    Rising global temperatures will increase the number of extreme weather events, creating new challenges for cities around the world. Archaeological research on the destruction and subsequent reoccupation of ancient cities has the potential to reveal geological and social dynamics that have historically contributed to making urban settings resilient to these extreme weather events. Using a combination of archaeological and geological methods, we examine how extreme flood events at Kaifeng, a former capital of dynastic China, have shaped the city’s urban resilience. Specifically, we focus on an extreme Yellow River flood event in AD 1642 that historical records suggest killed around 300,000 people living in Kaifeng. Our recent archaeological excavations have discovered compelling geological and archaeological evidence that corroborates these documents, revealing that the AD 1642 Yellow River flood destroyed Kaifeng’s inner city, entombing the city and its inhabitants within meters of silt and clay. We argue that the AD 1642 flood was extraordinarily catastrophic because Kaifeng’s city walls only partly collapsed, entrapping most of the flood waters within the city. Both the geology of the Yellow River floods as well as the socio-political context of Kaifeng shaped the city’s resilience to extreme flood events
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