scholarly journals Time-averaged quantum dynamics and the validity of the effective Hamiltonian model

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
Omar Gamel ◽  
Daniel F. V. James
2018 ◽  
Vol 353 ◽  
pp. 60-66 ◽  
Author(s):  
Jeniveve Pearson ◽  
Shanshan Yu ◽  
John Pearson ◽  
Keeyoon Sung ◽  
Brian Drouin ◽  
...  

2009 ◽  
Vol 26 (4) ◽  
pp. 041201 ◽  
Author(s):  
Guo Xiao-Bo ◽  
Tao Jun ◽  
Li Lei ◽  
Zhou Shan-Gui ◽  
Wang Shun-Jin

2008 ◽  
Vol 25 (9) ◽  
pp. 3185-3187 ◽  
Author(s):  
Tao Jun ◽  
Li Lei ◽  
Zhou Shan-Gui ◽  
Wang Shun-Jin

2001 ◽  
Vol 79 (2-3) ◽  
pp. 247-286 ◽  
Author(s):  
C M Gittins ◽  
N A Harris ◽  
M Hui ◽  
R W Field

This paper describes a systematic investigation of quasi-bound Rydberg states of calcium monofluoride (CaF) existing between the molecule's υ+ = 0 and 1 ionization thresholds. Experiments utilized ionization-detected optical–optical double resonance spectroscopy to assign states as belonging to one of the six core-penetrating ([Formula: see text] [Formula: see text] 2) or to a core-nonpenetrating ([Formula: see text] [Formula: see text] 3) Rydberg series. Most states observed had effective principal quantum number, ν, between 12 and 18 and one quantum of vibrational excitation in the CaF+ ion-core, although lower ν, υ [Formula: see text] = 2 states were also identified. Core-nonpenetrating states were observed both directly and through avoided crossings with core-penetrating states. Five of the seven [Formula: see text] components in the f-complexes derived from Ca+, 13f and n = 14f, have been identified. We present a detailed analysis of the CaF electronic structure for 12.5 [Formula: see text] ν [Formula: see text] 14.6, υ = 1 using an effective Hamiltonian model to describe CaF+ ion-core-induced [Formula: see text]-mixing between [Formula: see text] [Formula: see text] 3 (s,p, d, and f) Ca+ atomic orbitals. An observed avoided crossing between the 14.19 2Σ+, υ = 1 and 14f ([Formula: see text] = –3), υ = 1 states implies that the previously identified 0.19 Σ+ core-penetrating series has 20–30% f 2υ+-character. The effective Hamiltonian approach accounts for much of the data, however, a complete accounting requires the use of multichannel quantum defect theory (MQDT). An MQDT analysis of the data presented here is provided in a companion paper by Jungen and Roche in this issue. The effective Hamiltonian model enabled derivation of electrostatic properties of the CaF+ core as well as the 0.14Δ series quantum defect derivative, [dδ/dR]Re+, which governs the exchange of energy between the Rydberg electron and the CaF+ ion-core. The CaF+ electric quadrupole moment, defined with the coordinate origin at the center-of-charge, is 11.3 ± 0.5 a.u. PACS Nos.: 33.40+f, 33.80Eh, 33.15Ry, 33.15Ta


Entropy ◽  
2020 ◽  
Vol 22 (10) ◽  
pp. 1184
Author(s):  
Roberto Grimaudo ◽  
Antonino Messina ◽  
Alessandro Sergi ◽  
Nikolay V. Vitanov ◽  
Sergey N. Filippov

In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system–environment dynamics, which are trace preserving. Recently, a scheme for engineering non-Hermitian Hamiltonians as a result of repetitive measurements on an ancillary qubit has been proposed. The induced conditional dynamics of the main system is described by the effective non-Hermitian Hamiltonian arising from the procedure. In this paper, we demonstrate the effectiveness of such a protocol by applying it to physically relevant multi-spin models, showing that the effective non-Hermitian Hamiltonian drives the system to a maximally entangled stationary state. In addition, we report a new recipe to construct a physical scenario where the quantum dynamics of a physical system represented by a given non-Hermitian Hamiltonian model may be simulated. The physical implications and the broad scope potential applications of such a scheme are highlighted.


2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Raymond Walter ◽  
Sergey Prosandeev ◽  
Charles Paillard ◽  
L. Bellaiche

AbstractNegative capacitance in BaTiO3/SrTiO3 superlattices is investigated by Monte Carlo simulations in an atomistic effective Hamiltonian model, using fluctuation formulas for responses to the local macroscopic field that incorporates depolarizing fields. We show that epitaxial strain can tune the negative capacitance of the BaTiO3 ferroelectric layer and the overall capacitance of the system. In addition, we predict and explain an original switching of the negative capacitance from the BaTiO3 layer to the SrTiO3 layer at low temperatures for intermediate strains.


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