Ground-state correlations of one-dimensional quantum many-body systems

1992 ◽  
Vol 45 (2) ◽  
pp. 907-912 ◽  
Author(s):  
Bill Sutherland
Keyword(s):  
Ground State ◽  
Many Body ◽  
One Dimensional ◽  
Many Body Systems

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.

scholarly journals Undecidability in quantum thermalization

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Naoto Shiraishi ◽  
Keiji Matsumoto
Keyword(s):  
Turing Machine ◽  
Thermal Equilibrium ◽  
General Theorem ◽  
Nearest Neighbour ◽  
Many Body ◽  
Initial State ◽  
One Dimensional ◽  
Universal Turing Machine ◽  
Many Body Systems ◽  
Neighbour Interaction

AbstractThe investigation of thermalization in isolated quantum many-body systems has a long history, dating back to the time of developing statistical mechanics. Most quantum many-body systems in nature are considered to thermalize, while some never achieve thermal equilibrium. The central problem is to clarify whether a given system thermalizes, which has been addressed previously, but not resolved. Here, we show that this problem is undecidable. The resulting undecidability even applies when the system is restricted to one-dimensional shift-invariant systems with nearest-neighbour interaction, and the initial state is a fixed product state. We construct a family of Hamiltonians encoding dynamics of a reversible universal Turing machine, where the fate of a relaxation process changes considerably depending on whether the Turing machine halts. Our result indicates that there is no general theorem, algorithm, or systematic procedure determining the presence or absence of thermalization in any given Hamiltonian.

scholarly journals 0+Ground State Dominance in Many-Body Systems

2002 ◽  
Vol 146 ◽  
pp. 644-645
Author(s):  
Yu-Min Zhao ◽  
Akito Arima ◽  
Naotaka Yoshinaga
Keyword(s):  
Ground State ◽  
Many Body ◽  
Many Body Systems

scholarly journals Yang-Lee zeros of one-dimensional quantum many-body systems

1999 ◽  
Vol 59 (1) ◽  
pp. 222-227 ◽  
Author(s):  
Xian-Zhi Wang ◽  
Jai Sam Kim
Keyword(s):  
Many Body ◽  
One Dimensional ◽  
Many Body Systems

scholarly journals Quasiequilibria in one-dimensional self-gravitating many-body systems

1994 ◽  
Vol 50 (4) ◽  
pp. 2607-2615 ◽  
Author(s):  
Toshio Tsuchiya ◽  
Tetsuro Konishi ◽  
Naoteru Gouda
Keyword(s):  
Many Body ◽  
One Dimensional ◽  
Many Body Systems
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