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Localization transitions in non-Hermitian quantum mechanics

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arxiv cond-mat/9603165 v1 pith:MFEWHW3X submitted 1996-03-26 cond-mat

classification cond-mat
keywords fieldlocalizationquantumtransitiontransitionstransverseaccompaniedarise
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schr\"odinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth at the transition.

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Cited by 2 Pith papers

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  1. Mobility edges in pseudo-unitary quasiperiodic quantum walks

    quant-ph 2024-11 unverdicted novelty 7.0 of 10

    A pseudo-unitary quasiperiodic quantum walk model exhibits a novel mobility edge sharply dividing metallic and insulating phases plus a second transition unique to discrete time, with PT-symmetry breaking quantified b...

  2. Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs

    quant-ph 2025-09 reject novelty 5.0 of 10

    A randomized compilation of LCHS for non-unitary dynamics, with an observable-driven variant and a symmetry-aware sampler, claims reduced ancilla and circuit depth at the cost of more repetitions.

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