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Non-Hermitian Many-Body Localization.

Ryusuke Hamazaki1, Kohei Kawabata1, Masahito Ueda1,2

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Physical Review Letters
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Summary
This summary is machine-generated.

Many-body localization suppresses imaginary energies in non-Hermitian systems with time-reversal symmetry. This transition impacts dynamical stability, but is absent in systems with gain/loss breaking this symmetry.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Many-body systems

Background:

  • Non-Hermitian Hamiltonians describe open quantum systems.
  • Time-reversal symmetry is a key property in quantum mechanics.
  • Many-body localization (MBL) is a phenomenon in disordered quantum systems.

Purpose of the Study:

  • Investigate the effect of many-body localization on non-Hermitian systems.
  • Analyze the role of time-reversal symmetry in these systems.
  • Explore the impact on dynamical stability and energy spectra.

Main Methods:

  • Theoretical analysis of general non-Hermitian Hamiltonians.
  • Focus on systems with asymmetric hopping respecting time-reversal symmetry.
  • Comparison with systems including gain/loss, breaking time-reversal symmetry.

Main Results:

  • Many-body localization suppresses imaginary parts of complex eigenenergies.
  • A real-complex transition, linked to MBL, affects dynamical stability.
  • This transition is absent in systems with gain/loss breaking time-reversal symmetry.

Conclusions:

  • Many-body localization plays a crucial role in the spectral properties of non-Hermitian systems.
  • Dynamical stability is profoundly influenced by the real-complex transition in time-reversal symmetric systems.
  • The presence of gain/loss fundamentally alters the behavior of these transitions.