Probabilistic representation and limit theorems for particle numbers of quasi-free states P0HKF5DY7M
| URI | m2://res/P0HKF5DY7M |
|---|---|
| Kind | preprint |
| Creators | Fanch Coudreuse, Simone Rademacher, Oliver Tse |
| Date | 2026-09-09 |
| MSC | 81-XX, 60-XX |
| Subjects | arxiv math-ph, arxiv math.MP, arxiv math.PR |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-09 |
| Ids | arXiv 2609.10840 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Locally interacting quasi-free vectors/states | definition | definition 2.1 | arxiv |
| Lindeberg CLT | statement | theorem C.1 | arxiv |
| Law of small numbers in the sparse regime | statement | theorem 2.6 | arxiv |
| Explicit integrals | statement | lemma 3.8 | arxiv |
| Number operator distribution | statement | theorem 2.4 | arxiv |
| 68HMCPBE5S | statement | lemma C.5 | arxiv |
| 7TZ1EXDCJM | statement | lemma 5.6 | arxiv |
| Law of small numbers from a scaled log-Laplace limit | statement | proposition 5.1 | arxiv |
| Local lower bound | statement | lemma 5.5 | arxiv |
| BFKBTZVKFD | statement | theorem 3.9 | arxiv |
| Site bounds | statement | lemma 5.3 | arxiv |
| CFAY267FRF | statement | lemma D.2 | arxiv |
| EXE5JVV1J9 | statement | theorem 2.8 | arxiv |
| Generalized triangular array | definition | definition C.2 | arxiv |
| FFNVYVBWWA | statement | lemma 4.2 | arxiv |
| Generalized Lindeberg CLT | statement | theorem C.4 | arxiv |
| HWMPY12N35 | statement | theorem 3.3 | arxiv |
| K2HFNYDQN0 | statement | lemma D.1 | arxiv |
| MJZG8WZ043 | statement | theorem 2.5 | arxiv |
| MQS7RNCEKK | statement | theorem 5.8 | arxiv |
| Tail estimate | statement | lemma B.1 | arxiv |
| LDP at logarithmic speed for quantum depletion | statement | theorem 3.6 | arxiv |
| LDP at logarithmic speed | statement | theorem 2.7 | arxiv |
| Law of small numbers for quantum depletion | statement | theorem 3.4 | arxiv |
| two-sided bounds to large-deviation principle | statement | proposition 5.2 | arxiv |
| SA9NH6EDXF | statement | lemma 4.3 | arxiv |
| SBKE67YPK0 | statement | proposition 4.1 | arxiv |
| Law of large numbers | statement | corollary 2.9 | arxiv |
| TQ7NG9BV2J | statement | proposition 3.1 | arxiv |
| Power-deviation estimate | statement | proposition B.2 | arxiv |
| Large scattering limit, $\fk{a}\to +\infty$ | statement | theorem 3.7 | arxiv |
| Uniform upper tail bound | statement | lemma 5.4 | arxiv |
| YVD36F6T26 | statement | lemma D.4 | arxiv |
| Depletion as a locally interacting quasi-free observable | statement | proposition 3.2 | arxiv |
Catalogue records
- arxiv: 2609.10840 (work)
- arxiv_text: 2609.10840 (work)