In order to understand the problem of the approach to equilibrium within the various approximation schemes, it is important to know the timereversal property of the non-equilibrium Green functions. Since in interacting many-body systems the second quantization formalism is an essential ingredient, we...
1d even in the presence of time-reversal symmetry. Second, and most importantly, the quantized corner charges cannot be simply expressed in terms of the symmetry eigenvalues: consider the simple case of a \({{\mathcal{C}}}_{2}\)-symmetric insulator. Time-reversal symmetry requires that ...
the pump light can couple to the lattice to the second order in the phonon amplitude, where pairs of phonons at ±qare generated to conserve the total momentum, leading to oscillations of the variance
We consider a new completely integrable case of the time-dependent Schrdinger equation in n with variable coefficients for a modified oscillator that is dual (with respect to time reversal) to a model of the quantum oscillator. We find a second pair of dual Hamiltonians in the momentum represe...
Quantum materials hold immense promises for future applications due to their intriguing electronic, magnetic, thermal, and mechanical properties that often arise from a complex interplay between microscopic degrees of freedom. Important insights of such
Phase reversal after every second 180° is much more satisfactory (Suh et al. 1994). View chapterExplore book Recent studies on accurate measurements of NMR transverse relaxation times Rangeet Bhattacharyya, ... Swagata Mandal, in Annual Reports on NMR Spectroscopy, 2020 2 What is transverse ...
The second quantization formalism allows us to switch from a single particle to many indistinguishable particles by introducing the bosonic field operator\(\hat {\psi }\), which can be expanded in terms of operators that annihilate a boson in time-independent single-particle basis states [67]. ...
(fast Fourier transform ) 快速傅立叶变换 208 Decimation-in-time radix-2 FFT algorithm 按时间抽取的基二FFT 算法 209 butterfly merging equations 蝶形组合公式 210 shuffling 重排 211 bit reversal 码位倒置 212 fast convolution 快速卷积 213 circular convolution 圆周卷积 214 overlap-add methord 重叠相...
Quantum systems have inherently time-reversal symmetric dynamics. Measurements made on quantum systems, however, are usually described in terms of irreversible wavefunction collapse. Irreversibility in this context seems then to be a question of paramount importance to fundamental quantum theory: is it ...
being the Wigner time-reversal matrix which satisfies ΘσσΘ−1=−σσ∗and K the complex conjugation operator acting to its right Kf=f∗. The solutions of Elko are given by ξ1(kk)=[+iϕ−(kk)ϕ+(kk)],ξ2(kk)=[−iϕ+(kk)ϕ−(kk)],ξ3(kk)=[ϕ+(kk)...