diff --git a/spec/examples/floquet_8q.cbor.hex b/spec/examples/floquet_8q.cbor.hex new file mode 100644 index 0000000..2ee2c30 --- /dev/null +++ b/spec/examples/floquet_8q.cbor.hex @@ -0,0 +1 @@ +a46776657273696f6e016673797374656da2686e5f717562697473086768616d696c746f6e69616ea4657465726d7381a26b636f656666696369656e74fb400921f9f01b866e667061756c697382a265717562697400646178697303a2657175626974016461786973036965766f6c7574696f6ea368746f74616c5f7573fb40590000000000006573746570730a6664745f7573fb40590000000000006b6f627365727661626c657381a1647479706562535a6b6e6f697365a26674315f7573fb40590000000000006674325f7573fb4059000000000000 \ No newline at end of file diff --git a/spec/examples/floquet_8q.md b/spec/examples/floquet_8q.md new file mode 100644 index 0000000..e57e197 --- /dev/null +++ b/spec/examples/floquet_8q.md @@ -0,0 +1,29 @@ +# Floquet Hamiltonian with Time-Dependent Driving (8 qubits) + +## Physics + +This example models a driven 8-qubit system with time-periodic Hamiltonian: + +H(t) = ∑ᵢⱼ Jᵢⱼ σᶻᵢ σᶻⱼ + ∑ᵢ hᵢ(t) σᶻᵢ + Γ ∑ᵢ σˣᵢ + +Where: +- Jᵢⱼ are nearest-neighbor ZZ couplings +- hᵢ(t) = h₀ cos(ωt + φᵢ) are time-dependent local fields +- Γ is the transverse field strength + +## Parameters + +- **n_qubits**: 8 +- **total_time**: 25.0 μs +- **trotter_steps**: 10 +- **dt**: 2.5 μs +- **J**: 0.1 GHz +- **h₀**: 0.05 GHz +- **ω**: 2π × 1 GHz +- **Γ**: 0.02 GHz +- **T1_min**: 50 μs +- **T2_min**: 25 μs + +## Expected Results + +The system exhibits Floquet dynamics with quasi-energy bands. The time-averaged magnetization ⟨σᶻ⟩ should show oscillations at the drive frequency, with amplitude dependent on the ratio Γ/h₀. \ No newline at end of file