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Dissipative Majorana Quantum Wires.

Yizhen Huang1, Alejandro M Lobos2, Zi Cai1

  • 1Wilczek Quantum Center and Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.

Iscience
|November 3, 2019
PubMed
Summary
This summary is machine-generated.

Dissipation can destroy topological phases in quantum systems, like the Majorana edge mode in Kitaev quantum wires. Even robust topological states eventually succumb to strong dissipation, leading to quantum phase transitions.

Keywords:
Quantum MechanicsQuantum PhenomenaState of Matter

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Topological Quantum Matter

Background:

  • Topological systems exhibit unique properties robust against local perturbations.
  • Dissipation, the loss of energy to the environment, is a key challenge in realizing and maintaining quantum states.
  • Understanding dissipation's impact is crucial for quantum technologies and fundamental physics.

Purpose of the Study:

  • To quantitatively investigate the effect of dissipation on topological systems.
  • To analyze how dissipation influences topological features, such as Majorana edge modes.
  • To explore dissipation-driven quantum phase transitions and criticality.

Main Methods:

  • Formulation of a theoretical model for a Kitaev quantum wire with onsite Ohmic dissipation.
  • Numerical exact diagonalization at zero temperature.
  • Quantitative examination of topological features under varying dissipation strengths.

Main Results:

  • Topological phases show robustness against weak dissipation, as expected.
  • Sufficiently strong dissipation destroys the topological phase through continuous quantum phase transitions or crossovers.
  • The system exhibits dissipation-driven quantum criticality, dependent on system symmetry.

Conclusions:

  • Topological phases are not universally immune to dissipation; strong dissipation leads to their destruction.
  • The nature of the topological phase transition induced by dissipation depends on the system's symmetry.
  • Dissipation introduces novel quantum critical phenomena in topological systems.