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In periodically driven (Floquet) systems, evolution typically results in an infinite-temperature thermal state due to continuous energy absorption over time. However, before reaching thermal equilibrium, such systems may transiently pass…

Quantum Physics · Physics 2026-03-13 Kazuya Shinjo , Kazuhiro Seki , Tomonori Shirakawa , Rong-Yang Sun , Seiji Yunoki

Non-Hermitian quantum dynamics lie in an intermediate regime between unitary Hamiltonian dynamics and trace-preserving non-unitary open quantum system dynamics. Given differences in the noise tolerance of unitary and non-unitary dynamics,…

Strongly Correlated Electrons · Physics 2024-10-17 Weihua Xie , Michael Kolodrubetz , Vadim Oganesyan

We study discrete time-crystalline (DTC) phases in one-dimensional spin-1/2 chains with power-law-graded Ising interactions under periodic Floquet driving. By generalizing Stark localization to power-law-graded Ising interaction profiles,…

Quantum Physics · Physics 2026-05-06 Ayan Sahoo , Debraj Rakshit

Floquet engineering, i.e. driving the system with periodic Hamiltonians, not only provides great flexibility in analog quantum simulation, but also supports phase structures of great richness. It has been proposed that Floquet systems can…

Quantum Physics · Physics 2021-08-03 Huikai Xu , Jingning Zhang , Jiaxiu Han , Zhiyuan Li , Guangming Xue , Weiyang Liu , Yirong Jin , Haifeng Yu

We demonstrate the realization of a Discrete Time-Crystal (DTC) phase in a family of periodically driven, one-dimensional quadratic lattice Hamiltonians that can be obtained using spin chains. These interactions preserve integrability while…

Strongly Correlated Electrons · Physics 2026-04-21 Rahul Chandra , Mahbub Rahaman , Soumyabroto Majumder , Analabha Roy , Sujit Sarkar

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…

Recent progress in the realm of noisy, intermediate scale quantum (NISQ) devices represents an exciting opportunity for many-body physics, by introducing new laboratory platforms with unprecedented control and measurement capabilities. We…

Disordered Systems and Neural Networks · Physics 2021-09-24 Matteo Ippoliti , Kostyantyn Kechedzhi , Roderich Moessner , S. L. Sondhi , Vedika Khemani

Discrete time crystals are non-equilibrium phases of matter in periodically driven systems, characterized by robust subharmonic oscillations and broken discrete time-translation symmetry. Their long-lived coherent dynamics and resilience to…

Quantum Physics · Physics 2026-04-29 Rozhin Yousefjani , Shaikha Al-Naimi , Saif Al-Kuwari , Abolfazl Bayat

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

Statistical Mechanics · Physics 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

The simulation of complex quantum many-body systems is a promising short-term goal of noisy intermediate-scale quantum (NISQ) devices. However, the limited connectivity of native qubits hinders the implementation of quantum algorithms that…

Quantum Physics · Physics 2024-05-07 Andrea Solfanelli , Stefano Ruffo , Sauro Succi , Nicolò Defenu

Prethermal discrete time crystals (PDTCs) are a nonequilibrium state of matter characterized by long-range spatiotemporal order, and exhibiting a subharmonic response stabilized by many-body interactions under periodic driving. The inherent…

Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. DTCs have been extensively realized in experiments, particularly their subclass that is characterized by…

Quantum Physics · Physics 2025-12-09 Tianqi Chen , Ruizhe Shen , Ching Hua Lee , Bo Yang , Raditya Weda Bomantara

Quantum simulations are traditionally confined to exploring dynamics starting from unentangled or low-entanglement states due to severe bottlenecks in protocol design, hardware performance, and classical verification. Here, we report the…

Quantum Physics · Physics 2026-05-28 Liang-Hong Mo , Bastien Lapierre , Qiang Miao

Discrete (DTCs) and continuous time crystals (CTCs) are novel dynamical many-body states, that are characterized by robust self-sustained oscillations, emerging via spontaneous breaking of discrete or continuous time translation symmetry.…

Simulating nonequilibrium dynamics of quantum many-body systems is one of the most promising applications of quantum computers. However, a faithful digital quantum simulation of the Hamiltonian evolution is very challenging in the present…

Quantum Physics · Physics 2025-10-15 Tomoya Hayata , Kazuhiro Seki , Seiji Yunoki

We demonstrate that exciting possible realizations of quantum Floquet matter are within reach for modern silicon spin qubits based in quantum dots, most notably the discrete time crystal (DTC). This is significant given that spin qubits…

Quantum Physics · Physics 2023-04-18 Nathan L. Foulk , Sankar Das Sarma

The engineering of new states of matter through Floquet driving has revolutionized the field of condensed matter physics. This technique enables the creation of hybrid topological states and ordered phases that are absent in normal systems.…

Strongly Correlated Electrons · Physics 2023-05-18 Christopher Sims

We introduce a qudit-native framework for engineering rich and robust discrete time crystals (DTCs) by leveraging their internal multilevel structure. Unlike in qubit systems, qudit-based DTCs exhibit distinct dynamical mechanisms that…

Quantum Physics · Physics 2026-05-18 Wei-Guo Ma , Heng Fan , Shi-Xin Zhang

We propose a new Floquet time crystal model that responds in arbitrary multiples of the driving period. Such an $n$-tuple discrete time crystal is theoretically constructed by permuting spins in a disordered chain and is well suited for…

Quantum Physics · Physics 2025-06-10 Hongye Yu , Tzu-Chieh Wei

A discrete time crystal (DTC) repeats itself with a rigid rhythm, mimicking a ticking clock set by the interplay between its internal structures and an external force. DTCs promise profound applications in precision time-keeping and other…

Quantum Gases · Physics 2020-07-22 Changyuan Lyu , Sayan Choudhury , Chenwei Lv , Yangqian Yan , Qi Zhou
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