We consider the Bose condensation of bosonic particles with spin 1/2. The condensation is driven by an external magnetic field. Our work is motivated by ideas of quantum critical deconfinement and bosonic spinons in spin liquid states. We show that both the nature of the novel Bose condensate and the excitation spectrum are fundamentally different from that in the usual integer spin case. We pr...

To depict the complex relationship among nodes and the evolving process of a complex system, a Bose-Einstein hypernetwork is proposed in this paper. Based on two basic evolutionary mechanisms, growth and preference jumping, the distribution of hyperedge cardinalities is studied. The Poisson process theory is used to describe the arrival process of new node batches. And, by using the Poisson pro...

The classical region of a Bose gas consists of all single particle modes that have a high average occupation and are well described by a classical field. Highly occupied modes only occur in massive Bose gases at ultra-cold temperatures, in contrast to the photon case where there are highly occupied modes at all temperatures. For the Bose gas the number of these modes is dependent on the tempera...

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in some approximation, e.g. like Bose-Einstein condensates in magnetic traps. The numerical effort of our computation scheme grows only linear with the number o...

Studies of trapped quantum gases of bosons and of fermions have opened up a new range of manybody problems, having a strong overlap with nuclear and neutron star physics. Topics discussed here include: the Bose yrast problem – how many-particle Bose systems carry extreme amounts of angular momentum; the infrared divergent structure of the transition to Bose condensation in a weakly interacting ...

This paper presents a procedure for synthesizing multilevel circuits with concurrent error detection based on Bose-Lin codes. Bose-Lin codes are an efficient solution for providing concurrent error detection as they are separable codes and have a fixed number of check bits, independent of the number of information bits. Furthermore, Bose-Lin code checkers have a simple structure as they are bas...

The Bose distribution for a gas of nonrelativistic free bosons is derived in the framework of qp-deformed second quantization. Some thermodynamical functions for such a system in D dimensions are derived. Bose-Einstein condensation is discussed in terms of the parameters q and p as well as a parameter ν ′ 0 which characterizes the representation space of the oscillator algebra. The Bose distrib...

Magnetic confinement of Bose-Einstein condensates is incompatible with many precision measurements and applications in atom optics. Therefore, we realized an optical trap for a Bose-Einstein condensate [1]. It uses a single, focused infrared laser beam of only a few milliwatts of laser power, which is sufficient due to the very low energy of Bose condensates. In this trap, we have observed high...

We review the path integral method wherein quantum systems are mapped with Feynman's path integrals onto a classical system of " ring-polymers " and then simulated with the Monte Carlo technique. Bose or Fermi statistics correspond to possible " cross-linking " of polymers. As proposed by Feynman, superfluidity and Bose condensation result from macroscopic exchange of bosons. To map fermions on...

This paper is concerned with the complex behavior arising in satisfiability problems. We present a new statistical physics-based characterization of the satisfiability problem. Specifically, we design an algorithm that is able to produce graphs starting from a k–SAT instance, in order to analyze them and show whether a Bose-Einstein condensation occurs. We observe that, analogously to complex n...