28 citations · 28 across the 3 of their papers we have counts for
5 papers
Anomalous quantum states in finite macroscopic systems
Akira Shimizu, Takayuki Miyadera, Akihisa Ukena
We consider finite macroscopic systems, i.e., systems of large but finite degrees of freedom, which we believe are poorly understood as compared with small systems and infinite sys…
On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems
Takayuki Miyadera
On one-dimensional two-way infinite quantum lattice system, a property of translationally invariant stationary states with nonvanishing current expectation is investigated. We cons…
On Halting Process of Quantum Turing Machine
Takayuki Miyadera, Masanori Ohya
We prove that there is no algorithm to tell whether an arbitrarily constructed Quantum Turing Machine has same time steps for different branches of computation. We, hence, can not…
Fragility of Thermodynamically-Abnormal Ground States of Finite Systems
Takayuki Miyadera, Akira Shimizu
We study a general macroscopic quantum system of a finite size, which will exhibit a symmetry breaking if the system size goes to infinity, when the system interacts with an enviro…
Charge superselection rule does not rule out pure states of subsystems to be coherent superpositions of states with different charges
Akira Shimizu, Takayuki Miyadera
We consider a huge quantum system that is subject to the charge superselection rule, which requires that any pure state must be an eigenstate of the total charge. We regard some pa…