11 lines
689 B
Plaintext
11 lines
689 B
Plaintext
Following the formalism described in "Black-box superconducting circuit
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quantization "http://arxiv.org/abs/1204.0587 we can expand sin(a+b+_+h.c.)
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or cos(a+b+_+h.c.)or any other nonlinear f(a+b+_+h.c.) in order to obtain
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non-linear terms in the Hamiltonian (a, b, and other letters represent the
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annihilation operators of various oscillator modes). If we drive some of the
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modes classically we can create any non-linear term in the effective
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Hamiltonian. This module helps solve the constraint on the frequencies of the
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modes (both the requirement that some of the monomials in the expansion are
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resonant and that all the other terms in the expansion of the nonlinearity
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are off-resonant)
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