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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Wormholes, Berry phases and factorization
虫洞 浆果阶段 因子分解 编码拓扑信息
2023/5/15
I shall start by reviewing the connection between the wormholes and entanglement in the context of AdS/CFT. I shall then show how the Berry phase, a geometrical phase encoding information about the to...
Quantum Thermalization and Novel Phases in Non-equilibrium Quantum Systems
Quantum Thermalization Non-equilibrium Quantum Systems Novel Phases
2023/1/4
Universal quantum computers offer us the opportunities to implement novel quantum matter far away from equilibrium states. There has been remarkable progress in our understanding of the non-ergodic an...
Magnetic phases in the one-dimensional Kondo chain on a metallic surface
Magnetic phases the one-dimensional Kondo chain metallic surface
2012/2/27
We study the low-temperature properties of a one-dimensional spin-1/2 chain of magnetic impurities coupled to a (normal) metal environment by means of anisotropic Kondo exchange. In the case of easy-p...
Gauge- and Galilei-invariant Geometric Phases
geometric phases gauge transformations Galilei transformations effect
2011/9/7
Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge ...
Observation of Magnetization dynamics and Interaction-induced Phases on Topological Insulator Surfaces
Magnetization dynamics Interaction-induced Phases Topological Insulator Surfaces
2010/10/27
Three dimensional topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap [1–7]. This highly unusua...
Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments
Nonlocal Phases Local Quantum Mechanical Wavefunctions Static Time-Dependent Aharonov-Bohm Experiments
2010/10/20
We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different set...
Fidelity in topological quantum phases of matter
Fidelity topological quantum phases of matter
2010/4/16
Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems i...
Operators for the Aharonov-Anandan and Samuel-Bhandari Phases
Operators Aharonov-Anandan Samuel-Bhandari Phases
2010/4/7
We construct an operator for the Aharonov-Anandan phase for time independent Hamiltonians. This operator is shown to generate the motion of cyclic quantum systems through an equation of evolution invo...