scholarly journals Many-body systems interacting via a two-body random ensemble. I. Angular momentum distribution in the ground states

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
Y. M. Zhao ◽  
A. Arima ◽  
N. Yoshinaga
Keyword(s):  
Angular Momentum ◽  
Momentum Distribution ◽  
Ground States ◽  
Many Body ◽  
Many Body Systems

scholarly journals Novel quantum phase transition from bounded to extensive entanglement

2017 ◽  
Vol 114 (20) ◽  
pp. 5142-5146 ◽  
Author(s):  
Zhao Zhang ◽  
Amr Ahmadain ◽  
Israel Klich
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Ground States ◽  
Quantum Correlations ◽  
Quantum Phase ◽  
Continuous Family ◽  
Many Body ◽  
Many Body Systems ◽  
Special Circumstances ◽  
Area Law

The nature of entanglement in many-body systems is a focus of intense research with the observation that entanglement holds interesting information about quantum correlations in large systems and their relation to phase transitions. In particular, it is well known that although generic, many-body states have large, extensive entropy, ground states of reasonable local Hamiltonians carry much smaller entropy, often associated with the boundary length through the so-called area law. Here we introduce a continuous family of frustration-free Hamiltonians with exactly solvable ground states and uncover a remarkable quantum phase transition whereby the entanglement scaling changes from area law into extensively large entropy. This transition shows that entanglement in many-body systems may be enhanced under special circumstances with a potential for generating “useful” entanglement for the purpose of quantum computing and that the full implications of locality and its restrictions on possible ground states may hold further surprises.

scholarly journals Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms

Science ◽  
2019 ◽  
Vol 365 (6455) ◽  
pp. 775-780 ◽  
Author(s):  
Sylvain de Léséleuc ◽  
Vincent Lienhard ◽  
Pascal Scholl ◽  
Daniel Barredo ◽  
Sebastian Weber ◽  
...  
Keyword(s):  
Optical Tweezers ◽  
Ground States ◽  
Hard Core ◽  
Topological Phases ◽  
Topological Phase ◽  
Edge States ◽  
Many Body ◽  
Experimental Realization ◽  
Many Body Systems ◽  
Symmetry Protected

The concept of topological phases is a powerful framework for characterizing ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. Topological phases can appear in condensed-matter systems naturally, whereas the implementation and study of such quantum many-body ground states in artificial matter require careful engineering. Here, we report the experimental realization of a symmetry-protected topological phase of interacting bosons in a one-dimensional lattice and demonstrate a robust ground state degeneracy attributed to protected zero-energy edge states. The experimental setup is based on atoms trapped in an array of optical tweezers and excited into Rydberg levels, which gives rise to hard-core bosons with an effective hopping generated by dipolar exchange interaction.

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

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