Tootfinder

Zeeman Degenerate Sideband Cooling
Qin Qichen, Qi Zhao, M. D. K. Lee, Zhao Zhang, N. Jayjong, K. J. Arnold, M. D. Barrett
https://arxiv.org/abs/2508.02026 https://

Zeeman Degenerate Sideband Cooling
We explore degenerate Raman sideband cooling in which neighboring Zeeman states of a fixed hyperfine level are coupled via a two-photon Raman transition. The degenerate coupling between $|F,m_F\rangle\rightarrow |F,m_F-1\rangle$ facilitates the removal of multiple motional quanta in a single cycle. This method greatly reduces the number of cooling cycles required to reach the ground state compared to traditional sideband cooling. We show that near ground state cooling can be achieved …

On the analytical approach to infinite-mode Boson-Gaussian states
Jorge R. Bola\~nos-Serv\'in, Roberto Quezada, Josu\'e I. Rios-Cangas
https://arxiv.org/abs/2506.04537

On the analytical approach to infinite-mode Boson-Gaussian states
We develop an analytical approach to quantum Gaussian states in infinite-mode representation of the Canonical Commutation Relations (CCR's), using Yosida approximations to define integrability of possibly unbounded observables with respect to a state $ρ$ ($ρ$-integrability). It turns out that all elements of the commutative $*$-algebra generated by a possibly unbounded $ρ$-integrable observable $A$, denoted by $\langle A\rangle$, are normal and $ρ\, $-integrable. Besides, $\langle A\rangle$…

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Learning quadratic neural networks in high dimensions: SGD dynamics and scaling laws
G\'erard Ben Arous, Murat A. Erdogdu, N. Mert Vural, Denny Wu
https://arxiv.org/abs/2508.03688

Learning quadratic neural networks in high dimensions: SGD dynamics and scaling laws
We study the optimization and sample complexity of gradient-based training of a two-layer neural network with quadratic activation function in the high-dimensional regime, where the data is generated as $y \propto \sum_{j=1}^{r}λ_j σ\left(\langle \boldsymbol{θ_j}, \boldsymbol{x}\rangle\right), \boldsymbol{x} \sim N(0,\boldsymbol{I}_d)$, $σ$ is the 2nd Hermite polynomial, and $\lbrace\boldsymbolθ_j \rbrace_{j=1}^{r} \subset \mathbb{R}^d$ are orthonormal signal directions. We consider the ex…

Toukokuun keskilämpötila jäi alle pitkän ajan keskiarvon – koko kevät oli etelärannikolla poikkeuksellisen lämmin https://www.ilmatieteenlaitos.fi/tiedote/75WucvkvnucYQkCNjH4nrc

Toukokuun keskilämpötila jäi alle pitkän ajan keskiarvon – koko kevät
Toukokuu oli vertailukauden keskiarvoa koleampi, mikä rikkoi 12 kuukautta kestäneen keskiarvoa lämpimämpien kuukausien putken. Koko kevät eli maalis-toukokuu oli kuitenkin lähes koko maassa

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

OmniDraft: A Cross-vocabulary, Online Adaptive Drafter for On-device Speculative Decoding
Ramchalam Kinattinkara Ramakrishnan, Zhaocong Yuan, Shaojie Zhuo, Chen Feng, Yicheng Lin, Chenzheng Su, Xiaopeng Zhang
https://arxiv.org/abs/2507.02659

OmniDraft: A Cross-vocabulary, Online Adaptive Drafter for On-device Speculative Decoding
Speculative decoding generally dictates having a small, efficient draft model that is either pretrained or distilled offline to a particular target model series, for instance, Llama or Qwen models. However, within online deployment settings, there are two major challenges: 1) usage of a target model that is incompatible with the draft model; 2) expectation of latency improvements over usage and time. In this work, we propose OmniDraft, a unified framework that enables a single draft model to op…

So ein kleines bisschen Guerilla Gardening kann doch keine Sünde sein, oder? 🤔
Jemand hat anscheinend im Frühjahr am Rand der #Wiese auf einen alten #Maulwurfshügel ein paar #Ringelblumensamen

Gain on ground state of quantum system for truly $\mathcal{PT}$ symmetry
Bing-Bing Liu, Shi-Lei Su
https://arxiv.org/abs/2507.22728 https://arxiv.org/pdf/2…

Gain on ground state of quantum system for truly $\mathcal{PT}$ symmetry
For a truly $\mathcal{PT}$-symmetric quantum system, the conventional non-Hermitian Hamiltonian is $H = H_{\rm drive} -iγ|1\rangle\langle1| + iγ|0\rangle\langle0|$, where $Ω$ and $γ$ are real parameters. The three terms respectively represent coherent coupling, loss (on state $|1\rangle$), and gain (on state $|0\rangle$). However, realizing the gain term $+iγ|0\rangle\langle0|$ has remained an outstanding challenge for quantum system, especially on g…

Aus dem gelangweilten Leben einer #Ringeltaube:
Heute latsche ich einfach mal einen #Spitzpaprika platt. Ergibt keinen Sinn, hab aber grad nix zu tun.
#Balkongarten