arXiv subjects

A. W. Beckwith

Publications and source records attributed to A. W. Beckwith.

41 records · Page 3Linked to original sources

arXiv2004

The tunneling hamiltonian representation of false vacuum decay V. Application to cosmological constant question

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Here we apply a generalization of the way we formed appropriate wave functionals for charge density waves to how to present nucleation of an inflationary universe. This allows us to make a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wave functionals of a scalar quantum field are considered. Our prior article showed us how we can have particle - anti particle pairs as a model of how nucleation occurs and construct a potential which may permit formation of dark matter, using Sherrers k essence model construction. This same construction permits a definitive analysis of when conditions for pure cosmological constant behavior but no growth of density pertubations occur, largely as a matter of change of slope of a soliton-anti soliton pair during the nucleation process of a new universe.

math-ph↗

arXiv2004

The Tunneling Hamiltonian Representation of False Vacuum Decay: IV. Application to formation of Dark Matter in nucleating universe

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Here, we apply a generalization of the way we formed appropriate wave functionals for CDW on how to present nucleation of an inflationary universe. This allows us to make a generalization of the model used for inflation where the infation is trapped in a false vacuum and, after tunning makes a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wave functionals between states which wavefunctionals of a scalar quantum field are considered.We explain how we can have particle-anti particle pairs as a model of how nucleation occurs and construct a potential which may permit formation of dark matter using Scherrers k-essence model construction.

math-ph↗

arXiv2004

The tunneling hamiltonian representation of false vacuum decay: III. Application to nucleation of an inflationary universe

The tunneling hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wave functions. Here we apply a generalization of a way we formed appropriate wave functionals in CDW to how to present nucleation of an inflationary universe . This allows us to make a generalization of the model used for inflation when the inflaton is trapped in a false vacuum and, after tunneling, makes a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wavefunctionals of a scalar quantum field are considered . We explain how we can have particle - anti particle pairs as a model for how nucleation occurs and construct a potential which satisfies the flat slow roll condition even while using a modified false vacuum construction to this problem

math-ph↗

arXiv2003

Quantum Pair Creation of Soliton Domain Walls

A large body of experimental evidence suggests that the decay of the false vacuum, accompanied by quantum pair creation of soliton domain walls, can occur in a variety of condensed matter systems. Examples include nucleation of charge soliton pairs in density waves [eg. J. H. Miller, Jr. et al., Phys. Rev. Lett. 84, 1555 (2000)] and flux soliton pairs in long Josephon junctions. Recently, Dias and Lemos [J. Math. Phys. 42, 3292 (2001)] have argued that the mass $m$ of the soliton should be interpreted as a line density and a surface density, respectively, for (2+1)-D and (3+1)-D systems in the expression for the pair production rate. As the transverse dimensions are increased and the total mass (energy) becomes large, thermal activation becomes suppressed, so quantum processes can dominate even at relatively high temperatures. This paper will discuss both experimental evidence and theoretical arguments for the existence of high-temperature collective quantum phenomena.

cond-mat.str-el↗

arXiv2001

Soliton Tunneling Transistor

We report on a macroscopic version of the single-electron transistor (SET), which we call the soliton tunneling transistor (STT). The STT, consists of a gate capacitor coupled to a NbSe$_{3}$ crystal with a charge density wave (CDW). The current-voltage characteristic of an STT is periodically modulated by the gate voltage, as in the SET,except that the periodicity corresponds to a macroscopic displacement charge. These results appear to be consistent with time- correlated quantum nucleation of solitons and antisolitons [see Phys. Rev. Lett. {\bf 84}, 1555 (2000)]. We discuss how the microscopic degrees of freedom within the condensate might enable quantum behavior at high temperatures, and report on preliminary modeling studies using a coupled-phase Hamiltonian to interpret our results.

cond-mat.str-el↗