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Bloch oscillations of helicoidal spin-orbit coupled Bose-Einstein condensates in deep optical lattices
Sumaita Sultana, Golam Ali Sekh
https://arxiv.org/abs/2509.14873 https://

Bloch oscillations of helicoidal spin-orbit coupled Bose-Einstein condensates in deep optical lattices
We consider helicoidal spin-orbit coupled Bose-Einstein condensates in deep optical lattice and study the dynamics of Bloch oscillation. We show that the variation of helicoidal gauge potential with spin-orbit coupling is different in zero-momentum and plane-wave phases. The characteristic of Bloch oscillation are different in the two phases. In the zero-momentum phase, the Bloch oscillation harmonic while it is anharminic in plane-wave phase. The amplitude of Bloch oscillation are found to be …

Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
Hong Wu, Xue-Min Yang, Hui Liu
https://arxiv.org/abs/2510.09193 https:…

Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by infinitesimal perturbations that preserve sublattice symmetry. We identify this fragility to the instability of the quasienergy spectrum in finite-size systems, leading to a breakdown of the non-Bloch bulk-boundary correspondence defined on the generalized Brill…

Bloch Oscillations and Landau-Zener Transitions in Flat-Band Lattices with Quadratic and Linear Band Touchings
Chenhaoyue Wang, Carlos J. Garcia-Cervera, Amartya S. Banerjee
https://arxiv.org/abs/2510.03530

Bloch Oscillations and Landau-Zener Transitions in Flat-Band Lattices with Quadratic and Linear Band Touchings
Bloch oscillations (BOs) describe the coherent oscillatory motion of electrons in a periodic lattice under a constant external electric field. Deviations from pure harmonic wave packet motion or irregular Bloch oscillations can occur due to Zener tunneling (Landau-Zener Transitions or LZTs), with oscillation frequencies closely tied to interband coupling strengths. Motivated by the interplay between flat-band physics and interband coupling in generating irregular BOs, here we investigate these …

🇺🇦 #NowPlaying on BBCRadio3's #Breakfast
Camille Saint‐Saëns, German Symphony Orchestra Berlin & Alexandre Bloch:
🎵 Cello Concerto No 1 in A minor
#CamilleSaintSaëns #GermanSymphonyOrchestraBerlin #AlexandreBloch

Topological Vibration Analysis of Elastic Lattices via Bloch Sphere Mapping
Kazi Tahsin Mahmood, M. Arif Hasan
https://arxiv.org/abs/2510.11930 https://arx…

Topological Vibration Analysis of Elastic Lattices via Bloch Sphere Mapping
Mechanical lattices support topological wave phenomena governed by geometric phases. We develop a compact Hilbert space description for one-dimensional elastic chains, expressing intra-cell motion as a normalized superposition of orthogonal eigenstates and tracking complex amplitudes as trajectories on a Bloch sphere. For diatomic lattices, this framework makes inversion symmetry protection explicit: the relative phase between in-phase and out-of-phase modes is piecewise locked, and the Zak pha…

Dynamic Landau-Lifshitz-Bloch-Slonczewski equations for spintronics
Pascal Thibaudeau, Mouad Fattouhi, Liliana D. Buda-Prejbeanu
https://arxiv.org/abs/2510.04562 https://…

Dynamic Landau-Lifshitz-Bloch-Slonczewski equations for spintronics
The atomistic Landau-Lifshitz-Gilbert equation is challenged when modeling spintronic devices where Joule heating is significant, due to its core assumption of a constant magnetization magnitude. Based on a statistical framework that treats the magnetization magnitude as a dynamic variable coupled to a thermal bath, we derive a dynamic Landau-Lifshitz-Bloch-Slonczewski set of equations for torques, that captures the transient, heating-induced demagnetization that occurs during high-current oper…

Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture
Kalyan Banerjee
https://arxiv.org/abs/2509.24645 https://arxiv.org/pdf/2509.24645…

Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture
In this paper, we prove the Bloch-Beilinson conjecture for certain abelian surfaces over $\mathbb{Q}$, provided that the BSD is known for these abelian surfaces.

Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
Rustam Steingart
https://arxiv.org/abs/2510.00775 https://arxiv.org/pdf/2510.00775

Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive $B$-pairs we extend them to higher cohomological degree and show that the resulting groups form a cohomological delta functor satisfying a variant of the Euler--Poincaré characteristic formula and Tate duality.

An extension of the Floquet-Bloch theory to nilpotent groups and its applications
Atsushi Katsuda
https://arxiv.org/abs/2509.16848 https://arxiv.org/pdf/25…

An extension of the Floquet-Bloch theory to nilpotent groups and its applications
We develop a generalized Floquet-Bloch theory for discrete torsion-free nilpotent groups by exploiting their Malcev completions. Our main result is a branching formula that relates finite-dimensional representations of a discrete nilpotent lattice to infinite-dimensional unitary representations of its simply connected nilpotent Lie group. This generalization enables to extend the following two classical asymptotic problems (i) a Chebotarev density analogue for prime closed geodesics on compact …

Modelling optimal generation of an arbitrary N-qubit quantum gate within the generalized Bloch vectors formalism due to the Pontryagin principle
Sergey Kuznetsov, Elena R. Loubenets
https://arxiv.org/abs/2509.18059

Modelling optimal generation of an arbitrary N-qubit quantum gate within the generalized Bloch vectors formalism due to the Pontryagin principle
This paper is devoted to the problem of optimal generation of N-qubit gates for closed quantum systems -- a key task for the practical implementation of various quantum applications. Based on the generalized Bloch vectors formalism for a finite-dimensional quantum system, we develop a new optimal gates generation model, which is universal in the sense that it is applicable for an arbitrary N-qubit gate, any Hamiltonian of a closed N-qubit system and within this model an optimal control is deter…