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We introduce a family of quantized field states that can perform exact (entanglement- and error-free) rotations of a two-level atom starting from a specific state on the Bloch sphere. We discuss the similarities and differences between…

Quantum Physics · Physics 2024-10-03 Shanon Vuglar , Julio Gea-Banacloche

When the dynamics of a spin ensemble are expressible solely in terms of symmetric processes and collective spin operators, the symmetric collective states of the ensemble are preserved. These many-body states, which are invariant under…

Quantum Physics · Physics 2008-11-05 Bradley A. Chase , J. M. Geremia

We consider a quantum lattice spin model featuring exact quasiparticle towers of eigenstates with low entanglement at finite size, known as quantum many-body scars (QMBS). We show that the states in the neighboring part of the energy…

Strongly Correlated Electrons · Physics 2023-11-13 Lorenzo Gotta , Sanjay Moudgalya , Leonardo Mazza

We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the…

Exactly Solvable and Integrable Systems · Physics 2008-12-19 A. Enciso , F. Finkel , A. Gonzalez-Lopez , M. A. Rodriguez

In this paper we are concerned with the stabilizability to an equilibrium point of an ensemble of non interacting half-spins. We assume that the spins are immersed in a static magnetic field, with dispersion in the Larmor frequency, and are…

Optimization and Control · Mathematics 2018-03-12 Francesca Chittaro , Jean-Paul Gauthier

A dilutely filled $N$-site optical lattice near zero temperature within a high-$Q$ multimode cavity can be mapped to a spin ensemble with tailorable interactions at all length scales. The effective full site to site interaction matrix can…

Quantum Physics · Physics 2017-03-15 Valentin Torggler , Sebastian Krämer , Helmut Ritsch

Using an exactly solvable model of the Wigner-Weisskopf atom it is shown that an unstable quantum state cannot be recovered completely by the procedure involving detection of the decay products followed by creation of the time reversed…

Quantum Physics · Physics 2008-07-17 Robert Alicki

The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

We extend complete complementarity relations to curved spacetimes by considering a succession of infinitesimal local Lorentz transformations, which implies that complementarity remains valid as the quanton travels through its world line and…

General Relativity and Quantum Cosmology · Physics 2021-03-16 Marcos L. W. Basso , Jonas Maziero

First we compute the $\mbox{S}^2$ partition function of the supersymmetric $\mathbb{CP}^{N-1}$ model via localization and as a check we show that the chiral ring structure can be correctly reproduced. For the $\mathbb{CP}^1$ case we provide…

High Energy Physics - Theory · Physics 2018-04-20 Daniele Dorigoni , Philip Glass

We consider the problem of constructing the stationary state following a quantum quench, using the exact overlaps for finite size integrable models. We focus on the isotropic Heisenberg spin chain with initial state N\'eel or Majumdar-Ghosh…

Strongly Correlated Electrons · Physics 2016-04-26 Vincenzo Alba , Pasquale Calabrese

The ground state of a many body Hamiltonian considered in the quasiparticle representation is redefined by accounting for the quasiparticle quadrupole pairing interaction. The residual interaction of the newly defined quasiparticles is…

Nuclear Theory · Physics 2016-04-20 A. A. Raduta , C. M. Raduta

Loop quantum cosmology homogeneous models with a massless scalar field show that the big-bang singularity can be replaced by a big quantum bounce. To gain further insight on the nature of this bounce, we study the semi-discrete loop quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pablo Laguna

We consider the optimal control of switching on a coupling term between two quantum many-body systems. Specifically, we (i) quantify the energetic cost of establishing a weak junction between two quantum spin-$1/2$ chains in finite time…

Strongly Correlated Electrons · Physics 2025-01-27 Moallison F. Cavalcante , Marcus V. S. Bonança , Eduardo Miranda , Sebastian Deffner

It is known that there exist a limited number of analytic potentials with the unusual property that any bound quantum state therein will be periodic in time. This is known as a perfect quantum state revival. Examples of such potentials are…

Quantum Physics · Physics 2026-01-06 Aaron Danner , Tomáš Tyc

We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequence of on-site energies that eliminates resonant hopping…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman , M. Shapiro , F. M. Izrailev

We investigate the behavior of the return amplitude ${\cal F}(t)= |\langle\Psi(0)|\Psi(t)\rangle|$ following a quantum quench in a conformal field theory (CFT) on a compact spatial manifold of dimension $d-1$ and linear size $O(L)$, from a…

Statistical Mechanics · Physics 2016-12-14 John Cardy

The rapid developments of Quantum Information Science (QIS) have opened up new avenues for exploring fundamental physics. Quantum nonlocality, a key aspect for distinguishing quantum information from classical one, has undergone extensive…

High Energy Physics - Phenomenology · Physics 2024-02-27 Sihao Wu , Chen Qian , Yang-Guang Yang , Qun Wang

A key feature of BPS multi-center solutions is that the equations controlling the positions of these centers are not renormalized as one goes from weak to strong coupling. In particular, this means that brane probes can capture the same…

High Energy Physics - Theory · Physics 2015-06-15 Iosif Bena , Andrea Puhm , Orestis Vasilakis , Nicholas P. Warner

We consider the almost semi-continuous processes defined on a finite Markov chain. The representation of the moment generating functions for the absolute maximum after achievement positive level and for the recovery time are obtained.…

Probability · Mathematics 2011-07-12 Ievgen Karnaukh