scholarly journals The 1st Law of Thermodynamics for the Mean Energy of a Closed Quantum System in the Aharonov-Vaidman Gauge

Mathematics ◽  
2015 ◽  
Vol 3 (2) ◽  
pp. 428-443
Author(s):  
Allen Parks
Keyword(s):  
Quantum System ◽  
Closed Quantum System ◽  
The Mean

scholarly journals Lower bounds for the mean dissipated heat in an open quantum system

2020 ◽  
Vol 101 (5) ◽  
Author(s):  
Kazunari Hashimoto ◽  
Bassano Vacchini ◽  
Chikako Uchiyama
Keyword(s):  
Quantum System ◽  
Lower Bounds ◽  
Open Quantum System ◽  
Open Quantum ◽  
The Mean

BACKSCATTERING AND THE DECAY OF TRANSMITTANCE IN A COHERENTLY ABSORBING OR AMPLIFYING ORDERED CHAIN

1996 ◽  
Vol 10 (03n05) ◽  
pp. 125-132 ◽  
Author(s):  
ASOK K. SEN
Keyword(s):  
Quantum System ◽  
Electronic Properties ◽  
Recent Work ◽  
Active Medium ◽  
Open Quantum System ◽  
Tight Binding ◽  
One Dimensional ◽  
A Value ◽  
Closed Quantum System ◽  
Coherent Amplification

We study electronic properties of a one-dimensional, semi-infinite ordered chain in the presence of either absorption or amplification at each site (the site potentials having imaginary positive or negative parts) within a single-band, tight binding Hamiltonian. The spectrum in either case for an isolated (closed) quantum system becomes broader compared to the regular Bloch case. For an infinitely long ordered chain (open quantum system), the reflectance saturates to a value greater (lesser) than unity in the amplifying (absorbing) case and the transmittance decays to zero in either case. Thus, in contrast to a recent work of Pradhan and Kumar [Phys. Rev.B50, 9644 (1994)], it is not necessary to have any “synergy between wave confinement” due to any disorder or interaction induced confining mechanism on the transmitted wave and “coherent amplification by the active medium” to achieve an amplification in the reflectance.

scholarly journals Randomizes hamiltonian mechanics

2019 ◽  
Vol 486 (6) ◽  
pp. 653-658
Author(s):  
Yu. N. Orlov ◽  
V. Zh. Sakbaev ◽  
O. G. Smolyanov
Keyword(s):  
Hamiltonian System ◽  
Quantum System ◽  
Open Quantum System ◽  
Hamiltonian Function ◽  
Mean Value ◽  
Hamiltonian Mechanics ◽  
Infinite Dimensional ◽  
The Mean ◽  
Random Hamiltonian ◽  
Infinite Dimensional Hamiltonian System

Randomized Hamiltonian mechanics is the Hamiltonian mechanics which is determined by a time-dependent random Hamiltonian function. Corresponding Hamiltonian system is called random Hamiltonian system. The Feynman formulas for the random Hamiltonian systems are obtained. This Feynman formulas describe the solutions of Hamilton equation whose Hamiltonian is the mean value of random Hamiltonian function. The analogs of the above results is obtained for a random quantum system (which is a random infinite dimensional Hamiltonian system). This random quantum Hamiltonians are the part of Hamiltonians of open quantum system.

scholarly journals Linear response as a singular limit for a periodically driven closed quantum system

2013 ◽  
Vol 2013 (09) ◽  
pp. P09012 ◽  
Author(s):  
Angelo Russomanno ◽  
Alessandro Silva ◽  
Giuseppe E Santoro
Keyword(s):  
Quantum System ◽  
Linear Response ◽  
Singular Limit ◽  
Periodically Driven ◽  
Closed Quantum System

scholarly journals On a Stroboscopic Approach to Quantum Tomography of Qudits Governed by Gaussian Semigroups

2004 ◽  
Vol 11 (01) ◽  
pp. 63-70 ◽  
Author(s):  
Andrzej Jamiołkowski
Keyword(s):  
Quantum System ◽  
Minimal Polynomial ◽  
Quantum Tomography ◽  
Expectation Values ◽  
Mean Values ◽  
Selfadjoint Operators ◽  
The Mean

In this paper, we discuss the minimal number η of observables Q1,…, Qη, where expectation values at some time instants t1,…,tr determine the trajectory of a d-level quantum system (“qudit”) governed by the Gaussian semigroup [Formula: see text] We assume that the macroscopic information about the system in question is given by the mean values [Formula: see text] of n selfadjoint operators Q1,…, Qn at some time instants t1< t2 < … <tr, where n < d2 − 1 and r ≤ deg μ(λ, 𝕃). Here μ(λ, 𝕃) stands for the minimal polynomial of the generator [Formula: see text] of the Gaussian flow Φ(t).

Fast state transfer in closed quantum system based on the improved bang-bang control

Optik ◽  
2018 ◽  
Vol 156 ◽  
pp. 75-82 ◽  
Author(s):  
Juju Hu ◽  
Qiang Ke ◽  
Yinghua Ji
Keyword(s):  
Quantum System ◽  
Fast State ◽  
State Transfer ◽  
Closed Quantum System ◽  
Bang Bang Control

scholarly journals Ultracold Bosons on a Regular Spherical Mesh

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1289
Author(s):  
Santi Prestipino
Keyword(s):  
Phase Behavior ◽  
Quantum System ◽  
Mean Field ◽  
Ground States ◽  
Hard Core ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Hubbard Hamiltonian ◽  
The Mean ◽  
Theoretical Results

Here, the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh (“Platonic mesh”) and interacting through an extended Bose-Hubbard Hamiltonian has been studied. Only the hard-core version of the model for two instances of Platonic mesh is considered here. Using the mean-field decoupling approximation, it is shown that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system.

scholarly journals Experimental Reconstruction of Work Distribution and Study of Fluctuation Relations in a Closed Quantum System

2014 ◽  
Vol 113 (14) ◽  
Author(s):  
Tiago B. Batalhão ◽  
Alexandre M. Souza ◽  
Laura Mazzola ◽  
Ruben Auccaise ◽  
Roberto S. Sarthour ◽  
...  
Keyword(s):  
Quantum System ◽  
Fluctuation Relations ◽  
Work Distribution ◽  
Closed Quantum System

scholarly journals A CURVATURE DEPENDENT BOUND FOR ENTANGLEMENT CHANGE IN CLASSICALLY CHAOTIC SYSTEMS

2007 ◽  
Vol 05 (05) ◽  
pp. 685-704
Author(s):  
DEMETRIS P. K. GHIKAS ◽  
GEORGE STAMATIOU
Keyword(s):  
Quantum System ◽  
Upper Bound ◽  
Critical Parameter ◽  
Chaotic Systems ◽  
Equations Of Motion ◽  
Rate Of Change ◽  
Entangled State ◽  
Eigenvalues And Eigenfunctions ◽  
The Mean ◽  
The Stability

Using the Calogero–Moser model and the Nakamura–Lakshmanan equations of motion for eigenvalues and eigenfunctions associated with a multi-partite quantum system, we prove an inequality between the mean bi-partite entanglement rate of change under the variation of a critical parameter and the level-curvature. This provides an upper bound for the rate of production or destruction of entanglement induced dynamically. We then investigate the dependence of the upper bound on the degree of chaos of the system, which in turn, through the inequality, gives a measure of the stability of the entangled state. Our analytical results are supported by extensive numerical calculations.

scholarly journals Quasiclassical dynamics in a closed quantum system

1996 ◽  
Vol 54 (6) ◽  
pp. 4670-4675 ◽  
Author(s):  
Adrian Kent
Keyword(s):  
Quantum System ◽  
Closed Quantum System
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