Difference between revisions of "Relaxation.m"

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{{DISPLAYTITLE:relaxation.m}} __NOTOC__
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{{DISPLAYTITLE:relaxation.m}}
 
 
 
Relaxation superoperator.
 
Relaxation superoperator.
  
 
==Syntax==
 
==Syntax==
  
R=relaxation(spin_system,euler_angles)
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    R=relaxation(spin_system,euler_angles)
  
 
==Arguments==
 
==Arguments==
  
euler_angles  - three Euler angles (ZYZ active convention
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    euler_angles  - (optional) spin system orientation, for
                    in radians) specifying system orientation
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                    solid state systems at low temperature,
                    relative to the input orientation; requi-
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                    where the thermal equilibrium depends
                    by those theories that support relaxation
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                    on the orientation
                    rate anisotropy. It has no effect on tho-
 
                    se theories (e.g. Redfield) that do not.
 
  
 
==Outputs==
 
==Outputs==
  
R            - relaxation superoperator
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    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.
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==See also==
 
==See also==
 
 
[[equilibrium.m]], [[thermalize.m]], [[hamiltonian.m]], [[lindbladian.m]], [[kinetics.m]], [[magpump.m]]
 
[[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]]''

Revision as of 15:49, 5 April 2026

Relaxation superoperator.

Syntax

    R=relaxation(spin_system,euler_angles)

Arguments

    euler_angles  - (optional) spin system orientation, for
                    solid state systems at low temperature,
                    where the thermal equilibrium depends
                    on the orientation

Outputs

    R             - relaxation superoperator

Notes

  1. A variety of relaxation theories are supported, see the relaxation theory parameters section of the online manual.
  2. Spinach context functions include kinetics superoperators into the total Liovillian automatically.
  3. 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.

See also

equilibrium.m, thermalize.m, hamiltonian.m, lindbladian.m, kinetics.m, magpump.m


Version 2.2, authors: Ilya Kuprov, Luke Edwards, Alexander Karabanov, Walter Kockenberger