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Tagged with cpt-symmetry condensed-matter
5
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Non-Hermitian PT-symmetric Interacting Hamiltonian with Real Spectra
The following hamiltonian is $\mathcal{PT}$-symmetric $$\mathcal{H} = -J \sum_{j = 1}^{2N} [ 1 + (-1)^j \delta ] [ c^{\dagger}_{j} c_{j+1} + h.c. ] + \imath \gamma \sum_{j = 1}^{2N} (-1)^j c^{\dagger}...
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$C$, $P$, $T$ symmetry of $O(3)$ non-linear sigma model
Consider the $O(3)$ nonlinear sigma model with topological theta term in 1+1 D: $$\mathcal{L}=|d\textbf{n}|^{2}+\frac{i\theta}{8\pi}\textbf{n}\cdot(d\textbf{n}\times d\textbf{n}).$$
The time reversal ...
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Examples of the vacuum $| 0 \rangle$ break C, P, T symmetry?
Can the vacuum $| 0 \rangle$ of some QFT break C, P, T symmetry?
It could be that the QFT break C, P, T symmetry explicitly. Are there good examples?
p.s. The weak interaction breaks P explicitly ...
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How to understand $T^2=(-1)^{N_f}$ in terms of operator matrices on Hilbert space
For a time reversal symmetry operator $\hat{T}$, we have
$$\hat{T}^2=(-1)^{N_f}$$
for a fermionic (electronic) system. How do we understand $\hat{T}^2=(-1)^{N_f}$ in terms of operator matrices on the ...
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What is the definition of a charge-neutral operator?
What is the definition of a charge-neutral operator? I guess it means something like: it is invariant under charge conjugation. It that correct?