In the non-Hermitian Landau-Zener models, we investigate dynamical transition both in parity-time symmetric and symmetry-broken regimes. Taking into account complex nature of energy systems, absolute value gap was used to determine relaxation rate system. To show dynamics phase transitions, relative population is estimate topological defect density nonequilibrium rather than excitations corresp...

We calculate the adiabatic potentials and adiabatic wavefunctions of Rydberg atoms in a one-dimensional ponderomotive optical lattice. All latticeinduced couplings between the degenerate high-angular-momentum Rydberg states are taken into account. To obtain insight into the underlying physics, we analyze the numerical results in terms of effective electric and magnetic fields produced by the la...

In the Graph Isomorphism (GI) problem two N -vertex graphs G and G′ are given and the task is to determine whether there exists a permutation of the vertices of G that preserves adjacency and transforms G → G′. If yes, then G and G′ are said to be isomorphic; otherwise they are non-isomorphic. The GI problem is an important problem in computer science and is thought to be of comparable difficul...

It has been established that local lattice spin Hamiltonians can be used for universal adiabatic quantum computation. However, the 2-local model Hamiltonians used in these proofs are general and hence do not limit the types of interactions required between spins. To address this concern, the present paper provides two simple model Hamiltonians that are of practical interest to experimentalists ...

The rapid development of transistor technology has resulted in higher performance and integration density. Simultaneously, the continuous increasing power has become the primary barrier against further development of VLSI (Very large scale integration) circu it design. Over the past decade, research work concerning energy efficiency of computing systems has increased. From big data centers with...

The modal and nonmodal linear properties of the Hasegawa-Wakatani system are examined. This linear model for plasma drift waves is nonnormal in the sense of not having a complete set of orthogonal eigenvectors. A consequence of nonnormality is that finite-time nonmodal growth rates can be larger than modal growth rates. In this system, the nonmodal time-dependent behavior depends strongly on th...

Abstract—In this paper, a new design of adiabatic circuit, called energy efficient adiabatic logic (EEAL) is proposed. Earlier various diode based adiabatic logic families have been proposed. To achieve minimum energy consumption, this paper proposes a technique in which diode is replaced by MOS transistor at charging and discharging path whose gate is controlled by the power clocks. By using t...

An interfacial area transport equation IATE , proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the twofluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid model with the IATE named “two-fluid-IATE model” hereafter using a characteristic analysis. The mome...

We study the (zero temperature) quantum piezoelectric response of Harper-like models with broken inversion symmetry. The charge transport in these models is related to topological invariants (Chern numbers). We show that there are arbitrarily small periodic modulations of the atomic positions that lead to nonzero charge transport for the electrons. The Harper model can be interpreted as a tight...