| Title: | Quantum chaos in triangular billiards |
|---|
| Authors: | ID Lozej, Črt (Author)
ID Casati, Giulio (Author)
ID Prosen, Tomaž (Author) |
|---|
| Files: |  Quantum_chaos_in_triangular_billiards_Crt_2022.pdf (11,21 MB)
MD5: 113BD7F844EED0A974D222BBF30E6FD8
 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.013138
|
|---|
| Language: | English |
|---|
| Work type: | Scientific work |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | UM - University of Maribor
|
|---|
| Abstract: | We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six representative cases of triangular billiards, three with generic angles with irrational ratios with π, whose classical dynamics is presumably mixing, and three with exactly one angle rational with π, which are presumably only weakly mixing or even nonergodic in case of right triangles. We find excellent agreement of short- and long-range spectral statistics with the Gaussian orthogonal ensemble of random matrix theory for the most irrational generic triangle, while the other cases show small but significant deviations which are attributed either to a scarring or superscarring mechanism. This result, which extends the quantum chaos conjecture to systems with dynamical mixing in the absence of hard (Lyapunov) chaos, has been corroborated by analyzing distributions of phase-space localization measures of eigenstates and inspecting the structure of characteristic typical and atypical eigenfunctions. |
|---|
| Keywords: | quantum physics, quantum chaos, quantum scars, wave chaos, billiards, chaos and nonlinear dynamics, ergodic theory |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Submitted for review: | 17.11.2021 |
|---|
| Article acceptance date: | 24.01.2022 |
|---|
| Publication date: | 18.02.2022 |
|---|
| Publisher: | American Physical Society |
|---|
| Year of publishing: | 2022 |
|---|
| Number of pages: | Str. 1-22 |
|---|
| Numbering: | Letn. 4, Št. 1, št. članka 013138 |
|---|
| PID: | 20.500.12556/DKUM-86138  |
|---|
| UDC: | 530.145 |
|---|
| ISSN on article: | 2643-1564 |
|---|
| COBISS.SI-ID: | 98702851 |
|---|
| DOI: | 10.1103/PhysRevResearch.4.013138 |
|---|
| Publication date in DKUM: | 12.10.2023 |
|---|
| Views: | 294 |
|---|
| Downloads: | 35 |
|---|
| Metadata: |    |
|---|
| Categories: | Misc.
|
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
