scholarly journals Quantum mechanical and information theoretic view on classical glass transitions

2010 ◽  
Vol 81 (18) ◽  
Author(s):  
Claudio Castelnovo ◽  
Claudio Chamon ◽  
David Sherrington
Keyword(s):  
Quantum Mechanical ◽  
Glass Transitions ◽  
Information Theoretic

Quantum information entropy and squeezing of 𝒫𝒯-symmetric potential

2021 ◽  
Vol 36 (10) ◽  
pp. 2150065
Author(s):  
Aarti Sharma ◽  
Pooja Thakur ◽  
Girish Kumar ◽  
Anil Kumar
Keyword(s):  
Phase Transition ◽  
Quantum Information ◽  
Information Entropy ◽  
Momentum Space ◽  
Quantum Mechanical ◽  
Position Space ◽  
Entropy Squeezing ◽  
Information Theoretic ◽  
Symmetric Potential ◽  
Quantum Mechanical Systems

The information theoretic concepts are crucial to study the quantum mechanical systems. In this paper, the information densities of [Formula: see text]-symmetric potential have been demonstrated and their properties deeply analyzed. The position space and momentum space information entropy is obtained and Bialynicki-Birula–Mycielski inequality is saturated for different parameters of the potential. Some interesting features of information entropy have been discussed. The variation in these entropies is described which gets saturated for specific values of the parameter. These have also been analyzed for the [Formula: see text]-symmetry breaking case. Further, the entropy squeezing phenomenon has been investigated in position space as well as momentum space. Interestingly, [Formula: see text] phase transition conjectures the entropy squeezing in position space and momentum space.

scholarly journals Entropy as a bound for expectation values and variances of a general quantum mechanical observable

2018 ◽  
Vol 16 (04) ◽  
pp. 1850036 ◽  
Author(s):  
Shubhayan Sarkar
Keyword(s):  
Foundations Of Quantum Mechanics ◽  
Von Neumann Entropy ◽  
Quantum Mechanical ◽  
Theoretic Approach ◽  
Expectation Values ◽  
Von Neumann ◽  
Information Theoretic ◽  
General Quantum ◽  
Information Theoretic Approach ◽  
The Relationship

Quantum information-theoretic approach had been identified as a way to understand the foundations of quantum mechanics as early as 1950 due to Shannon. However, there hasn’t been enough advancement or rigorous development of the subject. In the following paper we try to find the relationship between a general quantum mechanical observable and von Neumann entropy. We find that the expectation values and the uncertainties of the observables have bounds which depend on the entropy. The results also show that von Neumann entropy is not just the uncertainty of the state but also encompasses the information about expectation values and uncertainties of any observable which depend on the observers choice for a particular measurement. Also a reverse uncertainty relation is derived for [Formula: see text] quantum mechanical observables.

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