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Harnessing spin-qubit decoherence to probe strongly-interacting quantum systems

Published 29 Oct 2024 in quant-ph, cond-mat.mes-hall, and cond-mat.str-el | (2410.22003v1)

Abstract: Extracting information from quantum many-body systems remains a key challenge in quantum technologies due to experimental limitations. In this work, we employ a single spin qubit to probe a strongly interacting system, creating an environment conducive to qubit decoherence. By focusing on the XXZ spin chain, we observe diverse dynamics in the qubit evolution, reflecting different parameters of the chain. This demonstrates that a spin qubit can probe both quantitative properties of the spin chain and qualitative characteristics, such as the bipartite entanglement entropy, phase transitions, and perturbation propagation velocity within the system. This approach reveals the power of small quantum systems to probe the properties of large, strongly correlated quantum systems.

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References (52)
  1. K. C. Young and K. B. Whaley, Qubits as spectrometers of dephasing noise, Phys. Rev. A 86, 012314 (2012a).
  2. C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017).
  3. L. Faoro and L. Viola, Dynamical suppression of 1/f1𝑓1/f1 / italic_f noise processes in qubit systems, Phys. Rev. Lett. 92, 117905 (2004).
  4. K. C. Young and K. B. Whaley, Qubits as spectrometers of dephasing noise, Phys. Rev. A 86, 012314 (2012b).
  5. K. Roszak, D. Kwiatkowski, and L. Cywiński, How to detect qubit-environment entanglement generated during qubit dephasing, Phys. Rev. A 100, 022318 (2019).
  6. B. Rzepkowski and K. Roszak, A scheme for direct detection of qubit–environment entanglement generated during qubit pure dephasing, Quantum Information Processing 20, 1 (2021).
  7. M. Strzałka and K. Roszak, Detection of entanglement during pure dephasing evolutions for systems and environments of any size, Phys. Rev. A 104, 042411 (2021).
  8. F. Casola, T. van der Sar, and A. Yacoby, Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond, Nature Reviews Materials 3, 17088 (2018).
  9. B. Flebus and Y. Tserkovnyak, Quantum-impurity relaxometry of magnetization dynamics, Phys. Rev. Lett. 121, 187204 (2018).
  10. S. Chatterjee, J. F. Rodriguez-Nieva, and E. Demler, Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits, Phys. Rev. B 99, 104425 (2019a).
  11. D. Roy, R. Singh, and R. Moessner, Probing many-body localization by spin noise spectroscopy, Phys. Rev. B 92, 180205 (2015).
  12. S. Chatterjee, J. F. Rodriguez-Nieva, and E. Demler, Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits, Phys. Rev. B 99, 104425 (2019b).
  13. M. Nakatani and T. Ogawa, Quantum master equations for composite systems: Is born–markov approximation really valid?, Journal of the Physical Society of Japan 79, 084401 (2010).
  14. I. de Vega and D. Alonso, Dynamics of non-markovian open quantum systems, Rev. Mod. Phys. 89, 015001 (2017).
  15. A. R. Kolovsky, Quantum entanglement and the born-markov approximation for an open quantum system, Phys. Rev. E 101, 062116 (2020).
  16. D. Lonigro and D. Chruściński, Quantum regression beyond the born-markov approximation for generalized spin-boson models, Phys. Rev. A 105, 052435 (2022).
  17. J. H. Reina, L. Quiroga, and N. F. Johnson, Decoherence of quantum registers, Phys. Rev. A 65, 032326 (2002).
  18. C. N. Yang and C. P. Yang, Ground-state energy of a heisenberg-ising lattice, Phys. Rev. 147, 303 (1966a).
  19. C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions. i. proof of bethe’s hypothesis for ground state in a finite system, Phys. Rev. 150, 321 (1966b).
  20. J. C. Bonner and M. E. Fisher, Linear magnetic chains with anisotropic coupling, Phys. Rev. 135, A640 (1964).
  21. F. Woynarovich, Excitation spectrum of the spin-(1/2 heisenberg chain and conformal invariance, Phys. Rev. Lett. 59, 259 (1987).
  22. T. Giamarchi and O. U. Press, Quantum Physics in One Dimension, International Series of Monographs on Physics (Clarendon Press, 2004).
  23. F. Franchini et al., An introduction to integrable techniques for one-dimensional quantum systems, Vol. 940 (Springer, 2017).
  24. U. Marzolino and T. c. v. Prosen, Fisher information approach to nonequilibrium phase transitions in a quantum xxz spin chain with boundary noise, Phys. Rev. B 96, 104402 (2017).
  25. C. Hess, Heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling, Physics Reports 811, 1 (2019), heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling.
  26. K. Roszak and L. Cywiński, Characterization and measurement of qubit-environment-entanglement generation during pure dephasing, Phys. Rev. A 92, 032310 (2015).
  27. S. R. White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett. 69, 2863 (1992).
  28. S. R. White, Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B 48, 10345 (1993).
  29. U. Schollwöck, The density-matrix renormalization group, Rev. Mod. Phys. 77, 259 (2005).
  30. U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96 (2011), january 2011 Special Issue.
  31. R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states, Annals of Physics 349, 117 (2014).
  32. P. Kramer, A review of the time-dependent variational principle, Journal of Physics: Conference Series 99, 012009 (2008).
  33. M. Yang and S. R. White, Time-dependent variational principle with ancillary krylov subspace, Phys. Rev. B 102, 094315 (2020).
  34. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
  35. E. H. Lieb and D. W. Robinson, The finite group velocity of quantum spin systems, Communications in Mathematical Physics 28, 251–257 (1972).
  36. I. Prémont-Schwarz and J. Hnybida, Lieb-robinson bounds on the speed of information propagation, Physical Review A 81, 10.1103/physreva.81.062107 (2010).
  37. P. Wysocki and J. Chwedeńczuk, Limits to velocity of signal propagation in many-body systems: a quantum-information perspective (2024), arXiv:2405.03751 [quant-ph] .
  38. M. Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, 1999).
  39. J. Des Cloizeaux and M. Gaudin, Anisotropic Linear Magnetic Chain, Journal of Mathematical Physics 7, 1384 (1966), https://pubs.aip.org/aip/jmp/article-pdf/7/8/1384/19082708/1384_1_online.pdf .
  40. K. Roszak and P. Machnikowski, Phonon-induced dephasing of singlet-triplet superpositions in double quantum dots without spin-orbit coupling, Phys. Rev. B 80, 195315 (2009).
  41. E. Barnes, L. Cywiński, and S. Das Sarma, Nonperturbative master equation solution of central spin dephasing dynamics, Phys. Rev. Lett. 109, 140403 (2012).
  42. A. G. Redfield, On the theory of relaxation processes, IBM Journal of Research and Development 1, 19 (1957).
  43. M. Popovic, M. T. Mitchison, and J. Goold, Thermodynamics of decoherence, Proceedings of the Royal Society A 479, 20230040 (2023).
  44. S. Nakajima, On Quantum Theory of Transport Phenomena: Steady Diffusion, Progress of Theoretical Physics 20, 948 (1958).
  45. R. Zwanzig, Ensemble Method in the Theory of Irreversibility, The Journal of Chemical Physics 33, 1338 (1960).
  46. F. Shibata, Y. Takahashi, and N. Hashitsume, A generalized theory of relaxation applied to normal dielectric relaxation, Journal of Statistical Physics 17, 171 (1977).
  47. N. Hashitsume, F. Shibata, and M. Shingu, Generalized quantum langevin equation. ii. exact formalism, Journal of Statistical Physics 17, 155 (1977).
  48. S. Chaturvedi and F. Shibata, Time-convolutionless projection operator formalism for elimination of fast variables. applications to brownian motion, Zeitschrift für Physik B Condensed Matter 35, 297 (1979).
  49. F. Shibata and T. Arimitsu, Expansion formulas in nonequilibrium statistical mechanics, Journal of the Physical Society of Japan 49, 891 (1980).
  50. H.-P. Breuer, B. Kappler, and F. Petruccione, Stochastic wave-function method for non-markovian quantum master equations, Physical Review A 59, 1633 (1999).
  51. H.-P. Breuer, D. Burgarth, and F. Petruccione, Non-markovian dynamics in a spin star system: Exact solution and approximation techniques, Physical Review B 70, 045323 (2004).
  52. H.-P. Breuer, J. Gemmer, and M. Michel, Non-markovian quantum dynamics: Correlated projection superoperators and hilbert space averaging, Physical Review E 73, 016139 (2006).

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