Thermodynamic framework for the ground state of a simple quantum system

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
Andre M. C. Souza ◽  
Fernando D. Nobre
Keyword(s):  
Quantum System ◽  
Ground State ◽  
Thermodynamic Framework ◽  
Simple Quantum

Local and nonlocal approximation for a simple quantum system

2001 ◽  
Vol 114 (10) ◽  
pp. 4386 ◽  
Author(s):  
M. A. Palenberg ◽  
R. J. Silbey ◽  
C. Warns ◽  
P. Reineker
Keyword(s):  
Quantum System ◽  
Simple Quantum

scholarly journals Irreversible work versus fidelity susceptibility for infinitesimal quenches

2017 ◽  
Vol 31 (06) ◽  
pp. 1750065 ◽  
Author(s):  
Simone Paganelli ◽  
Tony J. G. Apollaro
Keyword(s):  
Quantum System ◽  
Excited States ◽  
Ground State ◽  
Finite Size ◽  
Scaling Relations ◽  
Zero Temperature ◽  
Finite Size Scaling ◽  
Ising Chain ◽  
Extra Term ◽  
Explicit Relation

We compare the irreversible work produced in an infinitesimal sudden quench of a quantum system at zero temperature with its ground state fidelity susceptibility, giving an explicit relation between the two quantities. We find that the former is proportional to the latter but for an extra term appearing in the irreversible work which includes also contributions from the excited states. We calculate explicitly the two quantities in the case of the quantum Ising chain, showing that at criticality they exhibit different scaling behaviors. The irreversible work, rescaled by square of the quench’s amplitude, exhibits a divergence slower than that of the fidelity susceptibility. As a consequence, the two quantities obey also different finite-size scaling relations.

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