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  • 0 posts edited
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Dec
13
comment Is quantum tunneling related to imaginary time?
Thanks. I guess I'm a little bit confused by the saddle point approximation. Can we show numerically that the direct integration give almost the same results as the saddle point approximation?
Dec
13
comment Is quantum tunneling related to imaginary time?
I'm wondering what it is plotted after in the second figure after this sentence "A typical example looks like this:". Is that the expression in the integral or $b(p,t)$ itself?
Oct
30
awarded  Tumbleweed
Oct
23
asked Mapping the first Brillouin zone to the nth Brillouin zone
Oct
18
comment Is quantum tunneling related to imaginary time?
Thank you so much for posting this. It's very helpful. I also work in strong field physics.
Jan
28
awarded  Notable Question
Sep
24
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Sep
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awarded  Teacher
Jul
27
comment Optical Bloch Oscillation
I don't know about optical Bloch oscillation, but Bloch oscillation in general can be understand in these two pictures: the Bloch oscillation and Wannier-Stark pictures. These two pictures corresponding two independent choices of gauges, the velocity gauge and the length gauge. In the Bloch oscillation picture, the eigenfunctions of the system are the Houston states (accelerated Bloch states). In the Wannier-Stark picture, the eigenfunctions are the Wannier-Stark states, and the Bloch oscillation can be understand as the quantum beating of a superposition of two eigenstates of the system.
Jul
23
awarded  Good Question
Jun
9
comment Particle in a box under harmonic driving
Thanks, but I'm interested in exactly the non-perturbative limit, where the Rabi oscillation can happen.
Jun
9
asked Particle in a box under harmonic driving
Apr
7
comment Adjoint of momentum operator
The adjoin of the differential operator $\nabla^\dagger = -\nabla$ can be proved by integration by part.
Mar
6
awarded  Informed
Mar
6
comment The gauge-invariance of the probability current
Great prove ! +1
Mar
6
asked group velocity VS probability current
Dec
20
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Nov
30
awarded  Scholar
Nov
30
accepted Why are rockets so big?
Nov
28
awarded  Popular Question