.. _sphx_glr_api_gallery_quantum_perturbation:

Perturbation and Floquet driving
-----------------------------------

Static perturbation theory (linear Stark splitting and Zeeman sublevel
splitting) and time-dependent perturbation theory (multiphoton
transitions in an AC-driven infinite well, via Floquet analysis).


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Dirac&#x27;s time-dependent perturbation theory describes how a weak, time-dependent perturbation drives transitions between the unperturbed stationary states of a system; Fermi later gave the leading-order transition-rate result its &quot;golden rule&quot; name. The same machinery describes a system driven periodically in time, where transitions become resonant multiphoton processes whenever an integer number of drive quanta \hbar\omega bridges an energy gap.">

.. only:: html

  .. image:: /api/gallery/quantum/perturbation/images/thumb/sphx_glr_plot_floquet_driven_box_thumb.png
    :alt:

  :doc:`/api/gallery/quantum/perturbation/plot_floquet_driven_box`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Floquet-driven box: time-dependent perturbation theory</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Two static, first-order perturbative effects on the hydrogen atom. In a magnetic field B, the weak-field Zeeman effect shifts each \lvert l, m_l; s, m_s\rangle sublevel by">

.. only:: html

  .. image:: /api/gallery/quantum/perturbation/images/thumb/sphx_glr_plot_perturbation_and_floquet_thumb.png
    :alt:

  :doc:`/api/gallery/quantum/perturbation/plot_perturbation_and_floquet`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Stark and Zeeman splitting: static perturbation theory</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/quantum/perturbation/plot_floquet_driven_box
   /api/gallery/quantum/perturbation/plot_perturbation_and_floquet