We introduce the (general) homotopy groups of spheres as link invariants for Brunnian-type links through the investigations on the intersection subgroup of the normal closures of the meridians of strongly nonsplittable links. The homotopy groups measure the difference between the intersection subgroup and symmetric commutator subgroup of the normal closures of the meridians and give the invaria...

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which starts from very elementary assumptions, and proceeds by exploiting symmetry. It predicts a uniformly spaced area spectrum for all charges and angular momen...

A new method for calculating the Coulomb breakup of unstable neutron-rich isotopes at high energies is presented. The calculations employ eikonal approximation and use a dynamical polarization potential, calculated by solving Schr\"odinger equation entire motion exotic projectile as two-body cluster structure using adiabatic incorporating excitations to continuum. Calculations some are compared...

We study properties of the work distribution a many-body system driven through quantum phase transition in finite time. focus on non-Gaussianity distribution, which we characterize two quantitative metrics: skewness and negentropy. In particular, Ising model show that duration ramp enhances for size system. By examining characteristics full observe there is clear intermediate regime between sud...

ABSTRACT: Power consumption has become a critical concern in both high performance and portable applications. Methods for power reduction based on the application of adiabatic techniques to CMOS circuits have recently come under renewed investigation. In thermodynamics, an adiabatic energy transfer through a dissipative medium is one in which losses are made arbitrarily small by causing the tra...

The dynamic power requirement of CMOS circuits is rapidly becoming a major concern in the design of personal information systems and large computers. Battery operated portable computers and wireless communication products have often been used. Thus low power integrated circuit design has been strongly demanded for implementation. One of the promising techniques of low power design is adiabatic ...

Non-adiabatic decay rates for a radio-frequency dressed magnetic trap are calculated using Fermi’s Golden Rule: that is, we examine the probability for a single atom to make transitions out of the dressed trap and into a continuum in the adiabatic limit, where perturbation theory can be applied. This approach can be compared to the semi-classical Landau-Zener theory of a resonant dressed atom t...

Adiabatic vacuum states are a well-known class of physical states for linear quantum fields on Robertson-Walker spacetimes. We extend the definition of adiabatic vacua to general spacetime manifolds by using the notion of the Sobolev wavefront set. This definition is also applicable to interacting field theories. Hadamard states form a special subclass of the adiabatic vacua. We analyze physica...

This paper presents an analysis of a Curzon and Alhborn thermal engine model where both internal irreversibilities and non-instantaneous adiabatic branches are considered, operating with maximum ecological function and maximum power output regimes. Its thermodynamic properties are shown, and an analysis of its local dynamic stability is performed. The results derived are compared throughout the...