Robust boson dispenser: Quantum state preparation in interacting many-particle systems

Interacting Many-Particle Systems of Different Particle Types Converge to a Sorted State

We consider a model class of interacting many-particle systems consisting of different types of particles defined by a gradient flow. The corresponding potential expresses attractive and repulsive interactions between particles of the same type and different types, respectively. The introduced system converges by self-organized pattern formation to a sorted state where particles of the same typ...

Duality in interacting particle systems and boson representation

In the context of Markov processes, we show a new scheme to derive a dual process and duality function based on a boson representation. This scheme is applicable to a case in which a generator is expressed by boson creation and annihilation operators. For some stochastic processes, duality relations have been known, which connect continuous time Markov processes with discrete state space and th...

Lévy distribution in many-particle quantum systems

The Lévy distribution, previously used to describe complex behavior of classical systems, is shown to characterize that of quantum many-body systems. Using two complimentary approaches, the canonical and grandcanonical formalisms, we discovered that the momentum profile of a Tonks-Girardeau gas—a one-dimensional gas of N impenetrable (hard-core) bosons–harmonically confined on a lattice at fini...

Kinetic Equations for Quantum Many-Particle Systems

Unified theory of quantum many-particle systems

Using eigen-functional bosonization method, we study quantum manyparticle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation strength. Thus, the physical properties of these systems are completely determined by the differential equation of the phase fields. We mainly focus on the study ...