Naoyuki Sakumichi

The second law of thermodynamics under unitary evolution and external operations

The von Neumann entropy cannot represent the thermodynamic entropy of equilibrium pure states in isolated quantum systems. The diagonal entropy, which is the Shannon entropy in the energy eigenbasis at each instant of time, is a natural generalization of the von Neumann entropy and applicable to equilibrium pure states. We show that the diagonal entropy is consistent with the second law of thermodynamics upon arbitrary external unitary operations. In terms of the diagonal entropy, thermodynamic irreversibility follows from the facts that quantum trajectories under unitary evolution are restricted by the Hamiltonian dynamics and that the external operation is performed without reference to the microscopic state of the system.

Three-quark potential and Abelian dominance of confinement in SU(3) QCD

We study the baryonic three-quark (3Q) potential and its Abelian projection in terms of the dual-superconductor picture in SU(3) quenched lattice QCD. The non-Abelian SU(3) gauge theory is projected onto Abelian U(1)

INTER-QUARK POTENTIALS IN BARYONS AND MULTI-QUARK SYSTEMS IN QCD

^2

Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits

gauge theory in the maximal Abelian gauge. We investigate the 3Q potential and its Abelian part for more than 300 different patterns of static 3Q systems in total at

Criteria of off-diagonal long-range order in Bose and Fermi systems based on the Lee-Yang cluster expansion method

\beta=5.8

Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids

on

The three-quark potential and perfect Abelian dominance in SU(3) lattice QCD

16^332

Perfect Abelian dominance of confinement in quark-antiquark potential in SU(3) lattice QCD

and at

Three-quark systems in MA and MC projected QCD

\beta=6.0

Perfect Abelian dominance of quark confinement in SU(3) QCD

on