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We present some new ideas on how to design analogue models of quantum fields living in curved spacetimes using ultra-cold atoms in optical lattices. We discuss various types of static and dynamical curved spacetimes achievable by simple…

Quantum Physics · Physics 2014-10-08 Nikodem Szpak

Synthetic dimensions have generated great interest for studying many types of topological, quantum, and many-body physics, and they offer a flexible platform for simulation of interesting physical systems, especially in high dimensions. In…

Quantum Physics · Physics 2022-11-18 Ben Bartlett , Olivia Y. Long , Avik Dutt , Shanhui Fan

We present a general strategy to simulate a D+1-dimensional quantum system using a D-dimensional one. We analyze in detail a feasible implementation of our scheme using optical lattice technology. The simplest non-trivial realization of a…

Statistical Mechanics · Physics 2015-06-03 O. Boada , A. Celi , M. Lewenstein , J. I. Latorre

Emergence of fundamental forces from gauge symmetry is among our most profound insights about the physical universe. In nature, such symmetries remain hidden in the space of internal degrees of freedom of subatomic particles. Here we…

Quantum Gases · Physics 2019-12-19 Kunal K. Das , Miroslav Gajdacz

We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system the phases of the modulation can be used to create a photonic gauge potential in high…

Optics · Physics 2018-03-20 Luqi Yuan , Meng Xiao , Qian Lin , Shanhui Fan

We study the simulation of the topological phases in three subsequent dimensions with quantum walks. We are mainly focused on the completion of a table for the protocols of the quantum walk that could simulate different family of the…

Quantum Physics · Physics 2021-01-13 S. Panahiyan , S. Fritzsche

The quantum walk was originally proposed as a quantum mechanical analogue of the classical random walk, and has since become a powerful tool in quantum information science. In this paper, we show that discrete time quantum walks provide a…

Mesoscale and Nanoscale Physics · Physics 2010-09-30 Takuya Kitagawa , Mark S. Rudner , Erez Berg , Eugene Demler

The field of high-dimensional quantum photonics involves the use of multimode photonic degrees-of-freedom such as the spatial, temporal, or spectral structure of light to encode multi-level quantum states. Recent years have seen rapid…

Activating transitions between internal states of physical systems has emerged as an appealing approach to create lattices and complex networks. In such a scheme, the internal states or modes of a physical system are regarded as lattice…

Quantum Physics · Physics 2021-06-08 Konrad Tschernig , Roberto de J. León-Montiel , Armando Perez-Leija , Kurt Busch

Synthetic image data generation represents a promising avenue for training deep learning models, particularly in the realm of transfer learning, where obtaining real images within a specific domain can be prohibitively expensive due to…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Yuhang Li , Xin Dong , Chen Chen , Jingtao Li , Yuxin Wen , Michael Spranger , Lingjuan Lyu

Conventional topological insulators support boundary states that have one dimension lower than the bulk system that hosts them, and these states are topologically protected due to quantized bulk dipole moments. Recently, higher-order…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Avik Dutt , Momchil Minkov , Shanhui Fan

We propose quantum-mechanical systems in which the number of spatial dimensions is promoted to a dynamical quantum variable, making the effective dimension state-dependent. Interestingly, systems of this form can exhibit enhanced symmetries…

Quantum Physics · Physics 2026-01-16 Mikołaj Myszkowski , Mattia Damia Paciarini , Francesco Sannino

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries of the tetrahedron in R^3, we use…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John C. Baez , John W. Barrett

Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date…

Optics · Physics 2026-01-07 Jiho Noh , Julian Schulz , Wladimir Benalcazar , Christina Jörg

Quantum simulation involves engineering devices to implement different Hamiltonians and measuring their quantized spectra to study quantum many-body systems. Recent developments in topological photonics have shown the possibility of…

Quantum Physics · Physics 2021-06-29 Abhi Saxena , Yueyang Chen , Zhuoran Fang , Arka Majumdar

There has been a growing interest in realizing quantum simulators for physical systems where perturbative methods are ineffective. The scalability and flexibility of circuit quantum electrodynamics (cQED) make it a promising platform to…

So far proposed quantum computers use fragile and environmentally sensitive natural quantum systems. Here we explore the notion that synthetic quantum systems suitable for quantum computation may be fabricated from smart nanostructures…

Quantum Physics · Physics 2015-06-26 Reginald T. Cahill

The geometric dimensionality of a physical system significantly impacts its fundamental characteristics. While experiments are fundamentally limited to the maximum of three spatial dimensions, there is a growing interest in harnessing…

Dimensionality is a fundamental concept in physics, which plays a hidden but crucial role in various domains, including condensed matter physics, relativity and string theory, statistical physics, etc. In quantum physics, reducing…

Geometrical dimensionality plays a fundamentally important role in the topological effects arising in discrete lattices. While direct experiments are limited by three spatial dimensions, the research topic of synthetic dimensions…