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Title:  Lindbladians with multiple steady states: theory and applications
Author:  Victor V. Albert
As Contributor:   Victor V. Albert
Type: Ph.D.
Field: Physics
  • Quantum Physics
Approach: Theoretical
Degree granting institution:  Yale University
Supervisor(s): Liang Jiang
Defense date:  2017-02-24


Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum properties, an engineered environment can drive the system toward exotic phases of matter or toward subspaces protected from noise. These cases often require the Lindbladian to have more than one steady state, and such Lindbladians are dissipative analogues of Hamiltonians with multiple ground states. This thesis studies Lindbladian extensions of topics commonplace in degenerate Hamiltonian systems, providing examples and historical context along the way.

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