scholarly journals PTsymmetry of the non-Hermitian XX spin-chain: non-local bulk interaction from complex boundary fields

2008 ◽  
Vol 41 (29) ◽  
pp. 295206 ◽  
Author(s):  
Christian Korff
Keyword(s):  
Spin Chain ◽  
Complex Boundary ◽  
Non Local ◽  
Boundary Fields

Exact solution of XXZ spin chain with unparallel boundary fields

2003 ◽  
Vol 663 (3) ◽  
pp. 487-519 ◽  
Author(s):  
Junpeng Cao ◽  
Hai-Qing Lin ◽  
Kang-Jie Shi ◽  
Yupeng Wang
Keyword(s):  
Exact Solution ◽  
Spin Chain ◽  
Boundary Fields

scholarly journals Exact surface energy and helical spinons in the XXZ spin chain with arbitrary nondiagonal boundary fields

2021 ◽  
Vol 103 (22) ◽  
Author(s):  
Yi Qiao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
Yupeng Wang
Keyword(s):  
Surface Energy ◽  
Spin Chain ◽  
Boundary Fields

scholarly journals Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Sergio Enrique Tapias Arze ◽  
Pieter W. Claeys ◽  
Isaac Perez Castillo ◽  
Jean-Sébastien Caux
Keyword(s):  
Phase Transitions ◽  
Spin Chain ◽  
Equilibrium Phase ◽  
Transverse Field ◽  
Exact Expression ◽  
Rapid Convergence ◽  
Transient Behaviour ◽  
Non Local ◽  
Xy Spin Chain ◽  
Local Observables

We consider the dynamics of an XY spin chain subjected to an external transverse field which is periodically quenched between two values. By deriving an exact expression of the Floquet Hamiltonian for this out-of-equilibrium protocol with arbitrary driving frequencies, we show how, after an unfolding of the Floquet spectrum, the parameter space of the system is characterized by alternations between local and non-local regions, corresponding respectively to the absence and presence of Floquet resonances. The boundary lines between regions are obtained analytically from avoided crossings in the Floquet quasi-energies and are observable as phase transitions in the synchronized state. The transient behaviour of dynamical averages of local observables similarly undergoes a transition, showing either a rapid convergence towards the synchronized state in the local regime, or a rather slow one exhibiting persistent oscillations in the non-local regime, where explicit decay coefficients are presented.

scholarly journals Surface energy and elementary excitations of the XXZ spin chain with arbitrary boundary fields

2019 ◽  
Vol 52 (26) ◽  
pp. 265201 ◽  
Author(s):  
Pei Sun ◽  
Zhi-Rong Xin ◽  
Yi Qiao ◽  
Kun Hao ◽  
Like Cao ◽  
...  
Keyword(s):  
Surface Energy ◽  
Spin Chain ◽  
Elementary Excitations ◽  
Arbitrary Boundary ◽  
Boundary Fields

scholarly journals Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields

2014 ◽  
Vol 884 ◽  
pp. 17-27 ◽  
Author(s):  
Yuan-Yuan Li ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
Yupeng Wang
Keyword(s):  
Surface Energy ◽  
Thermodynamic Limit ◽  
Spin Chain ◽  
Arbitrary Boundary ◽  
Boundary Fields

scholarly journals Thermodynamic limit and boundary energy of the su (3) spin chain with non-diagonal boundary fields

2017 ◽  
Vol 915 ◽  
pp. 119-134 ◽  
Author(s):  
Fakai Wen ◽  
Tao Yang ◽  
Zhanying Yang ◽  
Junpeng Cao ◽  
Kun Hao ◽  
...  
Keyword(s):  
Thermodynamic Limit ◽  
Spin Chain ◽  
Boundary Energy ◽  
Boundary Fields

scholarly journals On a quantum group invariant spin chain with non-local boundary conditions

1994 ◽  
Vol 27 (14) ◽  
pp. 4761-4771 ◽  
Author(s):  
H Grosse ◽  
S Pallua ◽  
P Prester ◽  
E Raschhofer
Keyword(s):  
Boundary Conditions ◽  
Quantum Group ◽  
Spin Chain ◽  
Local Boundary ◽  
Group Invariant ◽  
Non Local

Toward High-Resolution Low-Voltage SEM

1988 ◽  
Vol 46 ◽  
pp. 218-219
Author(s):  
Zhifeng Shao
Keyword(s):  
Low Voltage ◽  
Spherical Aberration ◽  
Chromatic Aberration ◽  
Limiting Factor ◽  
Operating Voltage ◽  
Probe Radius ◽  
Non Local ◽  
Electron Microscopes ◽  
Image Position ◽  
Scanning Electron Microscopes

Recently, low voltage (≤5kV) scanning electron microscopes have become popular because of their unprecedented advantages, such as minimized charging effects and smaller specimen damage, etc. Perhaps the most important advantage of LVSEM is that they may be able to provide ultrahigh resolution since the interaction volume decreases when electron energy is reduced. It is obvious that no matter how low the operating voltage is, the resolution is always poorer than the probe radius. To achieve 10Å resolution at 5kV (including non-local effects), we would require a probe radius of 5∽6 Å. At low voltages, we can no longer ignore the effects of chromatic aberration because of the increased ratio δV/V. The 3rd order spherical aberration is another major limiting factor. The optimized aperture should be calculated as

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