As the first step, we make use of iterative Bogolubov transformations (IBT) to incorporate information from the anharmonic part of the interaction in a nonperturbative form, yielding a unitary time-evolution operator. Later on, we make use of first-order perturbation theory to deal with that ...
1. 时间演化算符 ... time dependent perturbation 含时微扰 157 time evolution operator 时间演化算符 327 time evolution 时间演化 508 598 ... www.scribd.com|基于2个网页 例句 释义: 全部,时间演化算符 更多例句筛选 1. Derivation of Unitary Time-evolution Operator and Its Application in Quantum Informa...
We propose an expansion of the unitary evolution operator, associated to a given Schr"odinger equation, in terms of a finite product of explicit unitary operators. In this manner, this unitary expansion can be truncated at the desired level of approximation, as shown in the given examples....
The usual definition of the time evolution operator e=∑n1/n ! (-i/ℏH, where H is the Hamiltonian of the system, as given in almost every book on quantum mechanics, causes problems in some situations. The operators that appear in quantum mechanics are either bounded or unbounded. Unboun...
Here {U}_I the time evolution operator is given in the usual way, \begin{aligned} {U}_I= & {} \mathcal {T}\exp \left( -i \int \text {d}\tau {H}_I(\tau )\right) \nonumber \\= & {} \sum _{n=0}^\infty \underbrace{\frac{(-i)^n}{n!}\int \text {d}\tau _1...
This includes the algorithmic error from the approximate implementation, U(Δt), of the infinitesimal time evolution operator e−iHΔt and error from the approximate compilation and diagonalization of U(Δt) into V(α,Δt). These two error sources bound the overall error via the triangle ...
( R 3 , dx) and establishing the equivalence of the vacuum states of their linearized forms in the Hubert space L 2 ( R 3 ) with the help of unique symmetric symplectic operator, the time evolution unitary operator U (t) has been fixed for the Klein Gordon equation, incorporating either...
In the above cases, the PTSB phases have been observed even when the eigenvalues ofH(t) are real all the time. SuchPT-symmetry breaking can be determined by the non-unitary time-evolution operatorGPT[See Methods], which has two eigenvaluesμ±∝e−iϵ±t.ϵ±is the quasienergies of...
The quantum imaginary time evolution is a powerful algorithm for preparing the ground and thermal states on near-term quantum devices. However, algorithmic errors induced by Trotterization and local approximation severely hinder its performance. Here we
Time evolution of coherent states 来自 dx.doi.org 喜欢 0 阅读量: 64 作者:CL Mehta,ECG Sudarshan 摘要: General conditions under which the states which are initially coherent remain coherent at all times are considered. It is also shown that the eigenvalues of the annihilation operator for ...