Observation of minimal and maximal speed limits for few and many-body states by Zitian Zhu, Lei Gao, Zehang Bao, Liang Xiang, Zixuan Song, Shibo Xu, Ke Wang, Jiachen Chen, Feitong Jin, Xuhao Zhu, Yu Gao, Yaozu Wu, Chuanyu Zhang, Ning Wang, Yiren Zou, Ziqi Tan, Aosai Zhang, Zhengyi Cui, Fanhao Shen, Jiarun Zhong, Tingting Li, Jinfeng Deng, Xu Zhang, Hang Dong, Pengfei Zhang, Zhen Wang, Chao Song, Chen Cheng, Qiujiang Guo, Hekang Li, H. Wang, Hai-Qing Lin, Rubem Mondaini

“…Abstract Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can change, resulting in immediate and practical tasks. …”
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SU(N) magnetism with ultracold molecules by Bijit Mukherjee, Jeremy M Hutson, Kaden R A Hazzard

“…Quantum systems with SU( N ) symmetry are paradigmatic settings for quantum many-body physics. …”
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Exploring Hilbert-Space Fragmentation on a Superconducting Processor by Yong-Yi Wang, Yun-Hao Shi, Zheng-Hang Sun, Chi-Tong Chen, Zheng-An Wang, Kui Zhao, Hao-Tian Liu, Wei-Guo Ma, Ziting Wang, Hao Li, Jia-Chi Zhang, Yu Liu, Cheng-Lin Deng, Tian-Ming Li, Yang He, Zheng-He Liu, Zhen-Yu Peng, Xiaohui Song, Guangming Xue, Haifeng Yu, Kaixuan Huang, Zhongcheng Xiang, Dongning Zheng, Kai Xu, Heng Fan

“…Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. …”
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Linear gate bounds against natural functions for position-verification by Vahid Asadi, Richard Cleve, Eric Culf, Alex May

“…Both schemes require an honest prover to locally compute a classical function $f$ of inputs of length $n$, and manipulate $O(1)$ size quantum systems. We prove the number of quantum gates plus single qubit measurements needed to implement a function $f$ is lower bounded linearly by the communication complexity of $f$ in the simultaneous message passing model with shared entanglement. …”
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Talbot interference of whispering gallery modes by Matias Eriksson, Benjamin A. Stickler, Robert Fickler

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Statistical mechanics and machine learning of the α-Rényi ensemble by Andrew Jreissaty, Juan Carrasquilla

“…Our work highlights the potential opportunities and limitations associated with the use of the α-Rényi ensemble formalism in probing the thermodynamic equilibrium properties of classical and quantum systems.…”
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Decoherence-free many-body Hamiltonians in nonlinear waveguide quantum electrodynamics by Aviv Karnieli, Offek Tziperman, Charles Roques-Carmes, Shanhui Fan

“…Enhancing interactions in many-body quantum systems, while protecting them from environmental decoherence, is at the heart of many quantum technologies. …”
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Nonequilibrium Dynamics of Charged Dual-Unitary Circuits by Alessandro Foligno, Pasquale Calabrese, Bruno Bertini

“…The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the center of an intense multidisciplinary research effort. …”
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Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking by Gernot Akemann, Federico Balducci, Aurélia Chenu, Patricia Päßler, Federico Roccati, Ruth Shir

“…Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics, when chaotic, or two-dimensional (2d) Poisson statistics, when integrable. …”
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Probing spectral features of quantum many-body systems with quantum simulators by Jinzhao Sun, Lucia Vilchez-Estevez, Vlatko Vedral, Andrew T. Boothroyd, M. S. Kim

“…We present simulation results for the spectral features of typical quantum systems, either gapped or gapless, including quantum spins, fermions and bosons. …”
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Chaos in the butterfly cone by Márk Mezei, Gábor Sárosi

“…Abstract A simple probe of chaos and operator growth in many-body quantum systems is the out of time ordered four point function. …”
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Phase transitions from heating to non-heating in $SU(1,1)$ quantum dynamics: Applications to Bose-Einstein condensates and periodically driven coupled oscillators by Heng-Hsi Li, Po-Yao Chang

“…We study the entanglement properties in non-equilibrium quantum systems with the $SU(1,1)$ structure. Through Möbius transformation, we map the dynamics of these systems following a sudden quench or a periodic drive onto three distinct trajectories on the Poincaré disc, corresponding the heating, non-heating, and a phase boundary describing these non-equilibrium quantum states. …”
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Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems by Yilong Ju, Shah Saad Alam, Jonathan Minoff, Fabio Anselmi, Han Pu, Ankit Patel

“…In this work, we use methodologies from information theory, group theory and machine learning, to elucidate how CNN captures relevant physics of quantum systems. We connect CNNs to a class of restricted maximum entropy (MaxEnt) and entangled plaquette correlator product state (EP-CPS) models that approximate symmetry constrained classical correlations between subsystems. …”
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Dissipation Alters Modes of Information Encoding in Small Quantum Reservoirs near Criticality by Krai Cheamsawat, Thiparat Chotibut

“…These findings elucidate how the interplay of instability and dissipation shapes information processing in small quantum systems, providing a fine-grained, information-theoretic perspective for analyzing and designing QRC platforms.…”
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Quantum complexity phase transitions in monitored random circuits by Ryotaro Suzuki, Jonas Haferkamp, Jens Eisert, Philippe Faist

“…Recently, the dynamics of quantum systems that involve both unitary evolution and quantum measurements have attracted attention due to the exotic phenomenon of measurement-induced phase transitions. …”
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Strongly Coupled 𝒫𝒯-Symmetric Models in Holography by Daniel Areán, David Garcia-Fariña, Karl Landsteiner

“…Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry is respected, and in that case, an equivalent Hermitian description exists via the so-called Dyson map. …”
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A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model by Mark Kelbert, Yurii Suhov

“…This paper is the second in a series of papers considering symmetry properties of bosonic quantum systems over 2D graphs, with continuous spins, in the spirit of the Mermin-Wagner theorem. …”
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