A Robust Large-Period Discrete Time Crystal and its Signature in a Digital Quantum Computer

• URL: http://arxiv.org/abs/2309.11560v2
• Date: Tue, 13 Aug 2024 05:36:48 GMT
• Title: A Robust Large-Period Discrete Time Crystal and its Signature in a Digital Quantum Computer
• Authors: Tianqi Chen, Ruizhe Shen, Ching Hua Lee, Bo Yang, Raditya Weda Bomantara,
• Abstract summary: Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. We develop an intuitive interacting spin-$1/2$ system that supports the more non-trivial period-quadrupling DTCs. We find a strong signature of the predicted $4T$-DTC that is robust against and, in some cases, amplified by different types of disorders.
• Score: 7.078842654618816
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. So far, only the simplest form of DTCs that exhibit period-doubling dynamics has been unambiguously realized in experiments. We develop an intuitive interacting spin-$1/2$ system that supports the more non-trivial period-quadrupling DTCs ($4T$-DTCs) and demonstrate its digital simulation on a noisy quantum processor. Remarkably, we found a strong signature of the predicted $4T$-DTC that is robust against and, in some cases, amplified by different types of disorders. Our findings thus shed light on the interplay between disorder and quantum interactions on the formation of time crystallinity beyond periodic-doubling, as well as demonstrate the potential of existing noisy intermediate-scale quantum devices for simulating exotic non-equilibrium quantum states of matter.

Related papers

• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• The role of fluctuations in quantum and classical time crystals [58.720142291102135]
  We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
  arXiv  Detail & Related papers  (2022-03-10T19:00:01Z)
• Realizing discrete time crystal in an one-dimensional superconducting qubit chain [11.115884267868482]
  Floquet systems can support a discrete time-translation symmetry (TTS) broken phase, dubbed the discrete time crystal (DTC) Here we report the observation of the DTC in an one-dimensional superconducting qubit chain.
  arXiv  Detail & Related papers  (2021-08-02T14:44:30Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator [0.0]
  discrete time crystal (DTC) is a recently discovered phase of matter that spontaneously breaks time-translation symmetry. We observe the hallmark signatures of a many-body-localized DTC using a quantum simulation platform based on $13$ nuclear spins in diamond.
  arXiv  Detail & Related papers  (2021-07-01T20:23:55Z)
• Probing quantum information propagation with out-of-time-ordered correlators [41.12790913835594]
  Small-scale quantum information processors hold the promise to efficiently emulate many-body quantum systems. Here, we demonstrate the measurement of out-of-time-ordered correlators (OTOCs) A central requirement for our experiments is the ability to coherently reverse time evolution.
  arXiv  Detail & Related papers  (2021-02-23T15:29:08Z)
• Quantum repetition codes as building blocks of large period discrete time crystals [0.0]
  Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Current successful experiments are however only limited to realizing DTCs with period-doubling and period-tripling observable dynamics. We propose a scheme for building DTCs exhibiting any large period observable dynamics, which is observable even at sufficiently small system sizes.
  arXiv  Detail & Related papers  (2021-02-18T01:49:17Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Many-body physics in the NISQ era: quantum programming a discrete time crystal [0.0]
  We show that a new generation of quantum simulators can be programmed to realize the discrete time crystals phase. Specifically, the architecture of Google's Sycamore processor is remarkably close match for the task at hand.
  arXiv  Detail & Related papers  (2020-07-22T18:01:04Z)
• Quantum time crystals with programmable disorder in higher dimensions [0.0]
  We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. They are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems undergoing non-equilibrium dynamics.
  arXiv  Detail & Related papers  (2020-04-15T18:02:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.