Recent content by Llukis

Yes, I had a look to this book, but it is completely full of typographical error in the formulas. Do you know of any corrected edition or errata document? Thank you for posting this book!

Thank you so much for your answer!

Hello to everyone, I would like to ask you to brief questions. The first one is whether you could recommend any pedagogical books on Quantum Information and Computation. I tried Nielsen and Chuang but I found it too dense for a beginner in the field. The second question is the following: to...

Hello to everybody! I would like to know if someone could help me customizing the title page (adding information as well as logos) of the template of the kaobook class by Federico Marotta. It is available at the website of Latex templates. Has anyone ever used it? Thank you so much.

Hello everybody, nice answers. I was wondering if I can write down the angle between two states in a complex Hilbert space ##\mathcal{H}_N## of any dimension. I know that the distance ##|d|## between the state ##|\psi\rangle## and the state ##|\phi\rangle## would be $$|d\rangle = |\psi\rangle -...

Sorry for my delay, I was a little bit busy so far. Thanks for your answers. Let me add another question, just to be sure. Once I have found the instantaneous eigenstates of a ##H(t)## $$H(t) |n(t)\rangle = \epsilon_n (t) |n(t)\rangle \: , $$ can I write the spectral decomposition of the...

Thanks for taking your time to answer my questions! So, I could write the state ##|\psi (t) \rangle## in the changing basis ##|n(t)\rangle## or choose a static basis at any given time, for instance at ##t=0##. I wanted to be sure about that, thank you. By the way, how would you face the...

Last week I was discussing with some colleagues how to handle time-dependent Hamiltonians. Concerning this, I would like to ask two questions. Here I go. First question As far as I know, for a time-dependent Hamiltonian ##H(t)## I can find the instantaneous eigenstates from the following...

Dear everybody, I am involved with a system of two spins and I ended up with the following Hamiltonian: $$H_c(t) = W\sin(2J_+ t) \big( \mathbb{1} \otimes \sigma_z - \sigma_z \otimes \mathbb{1}\big) + W \cos(2J_+ t) \big( \sigma_y \otimes \sigma_x - \sigma_x \otimes \sigma_y \big) \: ,$$ where...

So far I have no news from Springer. Perhaps , we could share the typos and corrections in a new thread. By the way, does anybody know which are the latest edition or printings of each one of the Greiner's books?

Perhaps I am not explaining myself properly, it must be my fault. Do not worry, I am working a solution. If someone else is interested I will post here once I have finished :smile:

But, in my case, ##V(t)## is a general time-dependent operator.

Well, ##V^\prime(t) = V(t)## is valid if ##V(t)## commutes with ##H_0## at all times, which is not the case, generally.

Yes, you are right. I supposed that my time-dependent term ##V(t)## does not depend on ##x##, though. When is this expression ##V^\prime (t) = U_I(t) V^\prime(0) U^\dagger_I(t)## valid?

Yes, so this counterexample is enough to reject my assumption, I guess. So, then, when can we write a general time-dependent Hamiltonian as ##H(t) = U(t) H(0) U^\dagger(t)## ?