Questions tagged [adiabatic]
Thermodynamic processes that occur without exchanging heat between the system and its environment.
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How does adiabatic cooling make a nebula colder than the CMB?
According to measurements, the gas from the Boomerang Nebula is expanding so fast that it's colder than the cosmic microwave background radiation... how does such a simple mechanic work on such a ...
user158288
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Adiabatic fluctuations
In Baumann's cosmology lecture, chapter 4, page 89, he defines adiabatic perturbation as:
Adiabatic perturbations have the property that the local state of matter (determined, for example, by the ...
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Transitionless quantum driving for specific eigenstates
Transitionless quantum driving is a concept that was invented by Berry in 2009.
In his article on transitionless quantum driving he showed that it is possible to speed up adiabatic evolution of ...
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Implement Adiabatic Elimination on Hamiltonians?
Adiabatic elimination is the process of truncating a Hamiltonian's Hilbert space to the "slow" states you care about. You throw out the "fast" eigenstates to produce a smaller ...
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Where is wrong in the derivation about adiabatic theorem
There is a homework in Quantum Mechanics which is about adiabatic theorem. Let us argue where is wrong in following derivation.
$$i \partial_t |\psi(t)\rangle = H(t) |\psi (t)\rangle \tag{1}$$
if $\...
user153663
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Eigenvalue of the adiabatic Hamiltonian of Farhi's three qubit 2-SAT problem
I was trying to reproduce example 3.3 of Quantum Computation by Adiabatic Evolution by Edward Farhi et. al. This is an adiabatic algorithm to solve an instance of three qubits 2-SAT problem.
I think ...
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Different forms of the Adiabatic Theorem
I've been reading several papers on Adiabatic Quantum Computation, and I am confused by the form in which the adiabatic approximation condition is presented. For example (quant-ph/0001106 eq 2.8) \...
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What is the relation between the Adiabatic Approximation used in quantum chemistry and the one given in QM textbooks?
I am an aspiring quantum chemist and have come across two vastly different versions of the Adiabatic Approximation when studying Quantum Mechanics from the perspective of physics and chemistry ...
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Adiabatic turn-on of free multi-particle states
Consider a second-quantized operator $\mathcal{H}_{full}$ describing some interacting QFT, whose action is known on a set of Fock states $\{\mathcal{|F\rangle}\}$, which, in turn, are the eigenstates ...
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Energy Level Change in Adiabatic Reversible Process
I am currently trying to get my head around the concept of entropy. One way to understand it is that it can be related to the number of available energy levels in a system.
From what I read, the ...
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Phase-shifting of instantaneous eigenstates in the adiabatic approximation
In my book Quantum Mechanics by B.H. Bransden and C.J. Joachain, there is a chapter on the adiabatic approximation.
Here, the authors assume that the time-dependent Hamiltonian $\hat{H}(t)$ changes ...
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Non-adiabatic evolution and time-dependent adiabatic parameter
I am dealing with the dynamics of a two-bands lattice system. The idea is that you have a lattice model of free fermions, with some hopping amplitudes and on-site energies.The lattice have two fermion ...
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Finding condition for Adiabaticity
I have a differential equation describing a resonator that looks like this:
$$ \frac{d\alpha(t)}{dt} = [j a - b]\alpha(t) + \sqrt b e^{jct}$$ where I can solve it putting: $$\alpha(t) = \alpha e^{jct}$...
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Understanding adiabatic elimination in three-level system coupled to EM field
I am having some difficulties understanding the "adiabatic elimination" in the context of atomic physics.
In particular, consider a three-level system with states labeled by $|g_1\rangle$, $|...
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Significance of Berry's phase
I'm familiar with the adiabatic theorem and have basic knowledge of quantum mechanics. While doing some independent learning, I stumbled on the concept of Berry's phase.
I would like to understand the ...
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