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The concept of synthetic dimensions has emerged as a powerful framework in photonics and atomic physics, enabling the exploration of high-dimensional physics beyond conventional spatial constraints. Originally developed for quantum…

In studies of quantum squeezing, the emphasis is typically placed more on specific squeezed states and their evolution rather than on the dynamical operations that could simultaneously squeeze a broader range of quantum states, regardless…

Quantum Physics · Physics 2024-06-12 Bogdan Mielnik , Jesús Fuentes

The possibility of using squeezed states in the recently suggested unidimensional continuous-variable quantum key distribution based on a single quadrature modulation is addressed. It is shown that squeezing of the signal states expands the…

Quantum Physics · Physics 2018-09-26 Vladyslav C. Usenko

We further elaborate on a phase-space picture for a system of $N$ qubits and explore the structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves satisfying certain additional properties and…

Quantum Physics · Physics 2017-06-14 C. Munoz , A. B. Klimov , L. L. Sanchez-Soto

We study the geometric phase of an open two-level quantum system under the influence of a squeezed, thermal environment for both non-dissipative as well as dissipative system-environment interactions. In the non-dissipative case, squeezing…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

Beam splitters are routinely used for generating entanglement between modes in the optical and microwave domains, requiring input states that are not convex combinations of coherent states. This leads to the ability to generate entanglement…

Quantum Physics · Physics 2021-10-04 Aaron Z. Goldberg , Khabat Heshami

Starting from noncommutative quantum mechanics algebra, we investigate the variances of the deformed two-mode quadrature operators under the evolution of three types of two-mode squeezed states in noncommutative space. A novel conclusion…

High Energy Physics - Theory · Physics 2008-11-26 Hua Wei , Jiahua Li , Ranran Fang , Xiaotao Xie , Xiaoxue Yang

The dynamics of a system, consisting of a particle initially in a Gaussian state interacting with a field mode, under the action of repeated measurements performed on the particle, is examined. It is shown that regardless of its initial…

Quantum Physics · Physics 2010-10-26 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

What is the role of topology in the propagation of quantum light in photonic lattices? We address this question by studying the propagation of squeezed states in a topological one-dimensional waveguide array, benchmarking our results with…

Virtually all interactions that are relevant for atomic and condensed matter physics are mediated by quantum fluctuations of the electromagnetic field vacuum. Consequently, controlling the vacuum fluctuations can be used to engineer the…

Quantum Gases · Physics 2017-06-21 Sina Zeytinoglu , Atac Imamoglu , Sebastian Huber

A phase-space formulation of non-stationary nonlinear dynamics including both Hamiltonian (e.g., quantum-cosmological) and dissipative (e.g., dissipative laser) systems reveals an unexpected affinity between seemly different branches of…

Pattern Formation and Solitons · Physics 2019-05-30 Vladimir L. Kalashnikov , Sergey L. Cherkas

We develop a rigorous theory of external influences on finite discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small contribution. Indeed, the covariance condition can be…

Mathematical Physics · Physics 2023-02-09 Carlo Maria Scandolo , Gilad Gour , Barry C. Sanders

Spins in solids and molecules are promising for applications of quantum sensing technology. The sensitivity of the quantum sensing depends on how precisely spin observables can be determined in the measurement, and is intrinsically limited…

Quantum Physics · Physics 2025-11-21 Yifan Song , Nabiha Hasan , Susumu Takahashi

By employing Husimi quasiprobability distributions, we show that a bounded portion of an unbounded phase space induces a finite effective dimension in an infinite dimensional Hilbert space. We compare our general expressions with numerical…

A deformed boson algebra is naturally introduced from studying quantum mechanics on noncommutative phase space in which both positions and momenta are noncommuting each other. Based on this algebra, corresponding intrinsic noncommutative…

Mathematical Physics · Physics 2009-04-03 Bing-Sheng Lin , Si-Cong Jing

The quantum systems with finite-dimensional Hilbert space have several applications and are intensively explored theoretically and experimentally. The mathematical description of these systems follows the analogy with the usual…

Quantum Physics · Physics 2023-05-30 Nicolae Cotfas

We show that squeezing is a crucial resource for interferometers based on the spatial separation of ultra-cold interacting matter. Atomic interactions lead to a general limitation for the precision of these atom interferometers, which can…

We investigate the sensitivity of gravitational acceleration estimation using squeezed probe states in a quantum metrology framework. In particular, we analyze how the squeezing phase, beyond its amplitude, affects the attainable precision.…

Quantum Physics · Physics 2026-05-28 Oziel R. de Araujo , Lucas S. Marinho , Jonas F. G. Santos , Carlos H. S. Vieira

We predict that the phase-dependent error distribution of locally unentangled quantum states directly affects quantum parameter estimation accuracy. Therefore, we employ the displaced squeezed vacuum (DSV) state as a probe state and…

Quantum Physics · Physics 2021-05-04 Zhiwei Tao , Yichong Ren , Azezigul Abdukirim , Shiwei Liu , Ruizhong Rao

This paper develops a method of manipulating the squeezed atom state to generate a few-photon state whose phase or photon-number fluctuations are prescribed at our disposal. The squeezed atom state is a collective atomic state whose quantum…

Quantum Physics · Physics 2009-10-31 Hiroki Saito , Masahito Ueda