spheres.oscillators

Functions for dealing with oscillators, particularly in the case of double oscillators in the context of the Schwinger representation of spin.

Functions

annihilators([n, cutoff_dim])	Constructs annihilators for a given number of oscillators with given cutoff dimension.
osc_spin(osc[, map])	Returns (nonzero) spin-j states correspond to the 2D oscillator state (pure or mixed).
osc_spinblocks(O[, map])	Extracts spin-j blocks from a 2D oscillator operator.
osc_spins(q[, map])	Extracts spin-j states from a 2D oscillator state.
osc_spintower_map(cutoff_dim)	Returns permutation from the tensor basis of two oscillators to the basis organized by total N, in other words, to a tower of spin states.
second_quantize_operator(O[, a])	Upgrades a first quantized operator to a second quantized operator given a list of annihilators.
second_quantize_spin_state(spin[, a])	Upgrades a spin state to a second quantized creation operator given a list of annihilators.
second_quantize_state(q[, a, state])	Upgrades a first quantized state to a second quantized creation operator given a list of annihilators.
second_quantized_paulis([cutoff_dim])	Second quantized Pauli X, Y, Z operators on two harmonic oscillators.
spin_osc(spin[, cutoff_dim, map])	Returns the 2D oscillator state corresponding to a given spin-j state (pure or mixed).
spin_osc_map(j[, cutoff_dim])	Construct linear map from spin-j states into the Fock space of the 2D quantum harmonic oscillator.
spin_tower_dimensions(d)	Given the overal dimension of a spin tower, return the individual dimensions of the spin states.
spinj_xyz_osc(osc[, paulis])	<X>, <Y>, <Z> expectation values on the given double oscillator state.
spins_osc(spins[, cutoff_dim, map])	List of spin-j states to a 2D quantum harmonic oscillator state.
vacuum([n, cutoff_dim])	Constructs vacuum state for a given number of oscillators with given cutoff dimension.