scholarly journals Interrupted coarsening in the zero-temperature kinetic Ising chain driven by a periodic external field

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
Su Do Yi ◽  
Seung Ki Baek
Keyword(s):  
External Field ◽  
Zero Temperature ◽  
Ising Chain ◽  
Periodic External Field

scholarly journals Irreversible work versus fidelity susceptibility for infinitesimal quenches

2017 ◽  
Vol 31 (06) ◽  
pp. 1750065 ◽  
Author(s):  
Simone Paganelli ◽  
Tony J. G. Apollaro
Keyword(s):  
Quantum System ◽  
Excited States ◽  
Ground State ◽  
Finite Size ◽  
Scaling Relations ◽  
Zero Temperature ◽  
Finite Size Scaling ◽  
Ising Chain ◽  
Extra Term ◽  
Explicit Relation

We compare the irreversible work produced in an infinitesimal sudden quench of a quantum system at zero temperature with its ground state fidelity susceptibility, giving an explicit relation between the two quantities. We find that the former is proportional to the latter but for an extra term appearing in the irreversible work which includes also contributions from the excited states. We calculate explicitly the two quantities in the case of the quantum Ising chain, showing that at criticality they exhibit different scaling behaviors. The irreversible work, rescaled by square of the quench’s amplitude, exhibits a divergence slower than that of the fidelity susceptibility. As a consequence, the two quantities obey also different finite-size scaling relations.

scholarly journals ON FORMAL QUASI-PERIODIC SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A TWO-LEVEL SYSTEM WITH A HAMILTONIAN DEPENDING QUASI–PERIODICALLY ON TIME

2000 ◽  
Vol 12 (01) ◽  
pp. 25-64 ◽  
Author(s):  
JOÃO C. A. BARATA
Keyword(s):  
Power Series ◽  
External Field ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Classical Mechanics ◽  
Energy Difference ◽  
Level System ◽  
Large Coupling ◽  
Periodic External Field ◽  
Formal Power

We consider the Schrödinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e. for which the energy difference 2∊ between the unperturbed levels is sufficiently small. We show that this equation has a solution in terms of a formal power series in ∊, with coefficients which are quasi-periodical functions of the time, in analogy to the Lindstedt–Poincaré series in classical mechanics.

The Ising chain with nonconstant external field

1986 ◽  
Vol 45 (1-2) ◽  
pp. 89-97 ◽  
Author(s):  
M. Mend�s France
Keyword(s):  
External Field ◽  
Ising Chain

Autoresonant Excitation of Spin Wave "Dark" Solitons

2015 ◽  
Vol 233-234 ◽  
pp. 82-85 ◽  
Author(s):  
M.A. Borich ◽  
A.P. Tankeev ◽  
A.G. Shagalov
Keyword(s):  
External Field ◽  
Resonant Frequency ◽  
Spin Wave ◽  
Threshold Condition ◽  
Dark Solitons ◽  
Excited Wave ◽  
Periodic External Field

In this paper we propose a method to generate pure dark solitons by a periodic external field with a slowly varying frequency, which allows to control amplitude of the excited solitons and period of soliton trains. Our approach to generate dark solitons is based on the effect of autoresonance when the excited wave is phase-locked by the drive after the crossing the resonance. The resonant frequency and the threshold condition on the amplitude of the driving were found.

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