Difference between revisions of "Relaxation.m"
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(Document Spinach 2.12 bosonic mode functionality (PR 195)) |
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{{DISPLAYTITLE:relaxation.m}} __NOTOC__ | {{DISPLAYTITLE:relaxation.m}} __NOTOC__ | ||
| − | |||
Relaxation superoperator. | Relaxation superoperator. | ||
==Syntax== | ==Syntax== | ||
| − | R=relaxation(spin_system,euler_angles) | + | R=relaxation(spin_system,euler_angles) |
| + | |||
| + | ==Parameters== | ||
| + | |||
| − | |||
| − | euler_angles - three Euler angles | + | euler_angles - three Euler angles, ZYZ active convention in radians, |
| − | + | specifying system orientation relative to the input | |
| − | + | orientation; required by relaxation theories that | |
| − | + | support relaxation-rate anisotropy, and ignored by | |
| − | + | theories that do not | |
| − | |||
==Outputs== | ==Outputs== | ||
| − | R - relaxation superoperator | + | R - relaxation superoperator |
==Notes== | ==Notes== | ||
| − | |||
# A variety of relaxation theories are supported, see the [[relaxation theory parameters]] section of the online manual. | # A variety of relaxation theories are supported, see the [[relaxation theory parameters]] section of the online manual. | ||
# Spinach [[kernel_contexts|context functions]] include kinetics superoperators into the total Liovillian automatically. | # Spinach [[kernel_contexts|context functions]] include kinetics superoperators into the total Liovillian automatically. | ||
# The function has been written for minimal memory footprint and performs aggressive memory recycling. Relaxation superoperator dimensions in excess of 1,000,000 are in practice feasible. | # The function has been written for minimal memory footprint and performs aggressive memory recycling. Relaxation superoperator dimensions in excess of 1,000,000 are in practice feasible. | ||
| + | # Dissipative bosonic modes declared in inter.modes receive thermalised GKSL dissipators from [[rlx_modes.m]] in Liouville space formalisms; the euler_angles parameter refers to the spin subsystem only and has no effect on the mode terms. | ||
| + | # Bosonic mode dissipation cannot be represented in Hilbert space: a warning is printed and the mode dissipators are omitted, while the rest of the superoperator is returned as usual. | ||
==See also== | ==See also== | ||
| − | + | [[equilibrium.m]], [[thermalize.m]], [[hamiltonian.m]], [[lindbladian.m]], [[kinetics.m]], [[magpump.m]], [[bos2ist.m]], [[boson_mono.m]], [[boson_ortho.m]], [[centrans.m]], [[ct2ist.m]], [[enlev2bm.m]], [[enlev2ist.m]], [[oper2bm.m]], [[oper2ist.m]], [[operator.m]], [[orientation.m]], [[propagator.m]], [[sin_tran.m]], [[weyl.m]], [[rlx_modes.m]], [[device.m]], [[Kernel_functions]] | |
| − | [[equilibrium.m]], [[thermalize.m]], [[hamiltonian.m]], [[lindbladian.m]], [[kinetics.m]], [[magpump.m]] | ||
| − | |||
''Version 2.2, authors: [[Ilya Kuprov]], [[Luke Edwards]], [[Alexander Karabanov]], [[Walter Kockenberger]]'' | ''Version 2.2, authors: [[Ilya Kuprov]], [[Luke Edwards]], [[Alexander Karabanov]], [[Walter Kockenberger]]'' | ||
Latest revision as of 05:40, 6 August 2026
Relaxation superoperator.
Syntax
R=relaxation(spin_system,euler_angles)
Parameters
euler_angles - three Euler angles, ZYZ active convention in radians,
specifying system orientation relative to the input
orientation; required by relaxation theories that
support relaxation-rate anisotropy, and ignored by
theories that do not
Outputs
R - relaxation superoperator
Notes
- A variety of relaxation theories are supported, see the relaxation theory parameters section of the online manual.
- Spinach context functions include kinetics superoperators into the total Liovillian automatically.
- The function has been written for minimal memory footprint and performs aggressive memory recycling. Relaxation superoperator dimensions in excess of 1,000,000 are in practice feasible.
- Dissipative bosonic modes declared in inter.modes receive thermalised GKSL dissipators from rlx_modes.m in Liouville space formalisms; the euler_angles parameter refers to the spin subsystem only and has no effect on the mode terms.
- Bosonic mode dissipation cannot be represented in Hilbert space: a warning is printed and the mode dissipators are omitted, while the rest of the superoperator is returned as usual.
See also
equilibrium.m, thermalize.m, hamiltonian.m, lindbladian.m, kinetics.m, magpump.m, bos2ist.m, boson_mono.m, boson_ortho.m, centrans.m, ct2ist.m, enlev2bm.m, enlev2ist.m, oper2bm.m, oper2ist.m, operator.m, orientation.m, propagator.m, sin_tran.m, weyl.m, rlx_modes.m, device.m, Kernel_functions
Version 2.2, authors: Ilya Kuprov, Luke Edwards, Alexander Karabanov, Walter Kockenberger
