TY - JOUR

T1 - Exploring Integrability-Chaos Transition with a Sequence of Independent Perturbations

AU - Yurovsky, Vladimir A.

N1 - Publisher Copyright:
© 2023 American Physical Society.

PY - 2023/1/13

Y1 - 2023/1/13

N2 - A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that, even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by the number of principal components (NPC) - the number of integrable system eigenstates involved into the nonintegrable one, which increases linearly with the number of strong scatterers. This rule is a particular case of the general effect of an additional perturbation on the system chaotic properties. The perturbation independence criteria supposing the system chaoticity increase are derived here as well. The effect can be observed in experiments with photons or cold atoms as the decay of observable fluctuation variance, which is inversely proportional to NPC and, therefore, to the number of scatterers. This decay indicates that the eigenstate thermalization is approached. The results are confirmed by numerical calculations for a harmonic waveguide with zero-range scatterers along its axis.

AB - A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that, even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by the number of principal components (NPC) - the number of integrable system eigenstates involved into the nonintegrable one, which increases linearly with the number of strong scatterers. This rule is a particular case of the general effect of an additional perturbation on the system chaotic properties. The perturbation independence criteria supposing the system chaoticity increase are derived here as well. The effect can be observed in experiments with photons or cold atoms as the decay of observable fluctuation variance, which is inversely proportional to NPC and, therefore, to the number of scatterers. This decay indicates that the eigenstate thermalization is approached. The results are confirmed by numerical calculations for a harmonic waveguide with zero-range scatterers along its axis.

UR - http://www.scopus.com/inward/record.url?scp=85146328191&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.130.020404

DO - 10.1103/PhysRevLett.130.020404

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C2 - 36706418

AN - SCOPUS:85146328191

SN - 0031-9007

VL - 130

JO - Physical Review Letters

JF - Physical Review Letters

IS - 2

M1 - 020404

ER -