Excited-state quantum phase transitions

被引:70
|
作者
Cejnar, Pavel [1 ]
Stransky, Pavel [1 ]
Macek, Michal [2 ]
Kloc, Michal [1 ,3 ]
机构
[1] Charles Univ Prague, Fac Math & Phys, Inst Particle & Nucl Phys, V Holesovickach 2, Prague 18000, Czech Republic
[2] Czech Acad Sci, Inst Sci Instruments, Kralovopolska 147, Brno 61264, Czech Republic
[3] Univ Basel, Dept Phys, Klingelbergstr 82, CH-4056 Basel, Switzerland
关键词
collective and fully connected many-body systems; infinite-size singularities of Hamiltonian eigenvalues and eigenvectors; quasiclassical level density and level dynamics; microcanonical phase transitions; anomalous response to external driving; tunneling singularities; BOSE-EINSTEIN CONDENSATION; ALGEBRAIC APPROACH; LEVEL DENSITY; SYSTEMS; TIME; ORDER; DYNAMICS; SIGNATURES; MONODROMY; MODELS;
D O I
10.1088/1751-8121/abdfe8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting many-body systems with finite numbers of collective degrees of freedom. We classify typical ESQPT signatures in the spectra of energy eigenstates with respect to the underlying classical dynamics and outline a variety of quantum systems in which they occur. We describe thermodynamic and dynamic consequences of ESQPTs, like those in microcanonical thermodynamics, quantum quench dynamics, and in the response to nearly adiabatic or periodic driving. We hint at some generalizations of the ESQPT concept in periodic lattices and in resonant tunneling systems.
引用
收藏
页数:77
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