- #1

Llukis

- 19

- 8

- TL;DR Summary
- I want to know if this Hamiltonian is feasible in the laboratory.

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 ##W## is a constant, ##\sigma_i## are the Pauli matrices and ##J_+ = J_x + J_y## a coupling constant between the spins. My question is whether this Hamiltonian is feasible in the laboratory. The spins under consideration could be electronic spins or atomic spins in an optical lattice, for example.

Thank you very much in advance for your time

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 ##W## is a constant, ##\sigma_i## are the Pauli matrices and ##J_+ = J_x + J_y## a coupling constant between the spins. My question is whether this Hamiltonian is feasible in the laboratory. The spins under consideration could be electronic spins or atomic spins in an optical lattice, for example.

Thank you very much in advance for your time

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