Eigenstate phases such as the discrete time crystal exhibit an inherent instability upon the coupling to an environment, which restores equipartition of energy and therefore acts against the protecting nonergodicity. Here, we demonstrate that a discrete time crystal can be stabilized against dissipation using coherent feedback. For a kicked random Ising chain subject to a radiative decay, we show that the time crystalline signal can survive through a mechanism of constructive interference upon reflecting the emitted photons by a mirror. We introduce a matrix product operator algorithm to solve the resulting non-Markovian dynamics. We find that the stabilization mechanism is robust against weak imperfections.
Aperiodic Dissipation as a Mechanism for Steady-State Localization
National University of Singapore（新加坡国立大学）；Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）；MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit（MajuLab，CNRS-南锡大学-索邦大学-新加坡国立大学-南洋理工大学国际联合研究单元）
Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
Tsinghua University（清华大学）；State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University（清华大学物理系低维量子物理国家重点实验室）；Université Paris-Saclay（巴黎萨克雷大学）；CNRS（法国国家科学研究中心）；LPTMS（理论与统计物理实验室）；Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen（哥本哈根大学尼尔斯·玻尔研究所尼尔斯·玻尔国际学院）；University of Copenhagen（哥本哈根大学）；Clarendon Laboratory, University of Oxford（牛津大学克拉伦登实验室）；University of Oxford（牛津大学）；Niels Bohr Institute, University of Copenhagen（哥本哈根大学尼尔斯·玻尔研究所）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）；Institute for Theoretical Physics, University of Innsbruck（因斯布鲁克大学理论物理研究所）；University of Innsbruck（因斯布鲁克大学）；Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences（奥地利科学院量子光学和量子信息研究所）
Extending coherence time beyond break-even point using only drives and dissipation
Tsinghua University（清华大学）；University of Science and Technology of China（中国科学技术大学）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）；Hefei National Laboratory（合肥国家实验室）
Dissipative preparation and stabilization of d-mode multinomial cat states
Institute for Quantum Materials and Technology, Karlsruhe Institute of Technology（卡尔斯鲁厄理工学院量子材料与技术研究所）；Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology（卡尔斯鲁厄理工学院凝聚态理论研究所）；Institut de Science et d’Ingénierie Supramoléculaires (ISIS, UMR7006), University of Strasbourg and CNRS（斯特拉斯堡大学及法国国家科学研究中心超分子科学与工程研究所）
Harish-Chandra Research Institute, a CI of Homi Bhabha National Institute（哈里什-昌德拉研究所）；Homi Bhabha National Institute（霍米·巴巴国立研究所）；School of Physical Sciences, Indian Association for the Cultivation of Science（印度科学促进协会物理科学学院）
John A. Paulson School of Engineering and Applied Sciences, Harvard University（哈佛大学约翰·A·保尔森工程与应用科学学院）；Department of Electrical Engineering and Computer Science, Syracuse University（雪城大学电气与计算机工程系）；Department of Physics, Harvard University（哈佛大学物理系）
Noise-stabilized discrete time crystals on digital quantum processors
RIKEN Center for Emergent Matter Science (CEMS)（RIKEN 新兴物质科学中心）；RIKEN Center for Quantum Computing (RQC)（RIKEN 量子计算中心）；RIKEN Center for Computational Science (R-CCS)（RIKEN 计算科学中心）；RIKEN Pioneering Research Institute (PRI)（RIKEN 先驱研究所）
