Rescuing a Quantum Phase Transition with Quantum Noise

Zhang, Gu; Novais, E.; Baranger, Harold U.

doi:10.1103/physrevlett.118.050402

Rescuing a Quantum Phase Transition with Quantum Noise

Journal Article · Thu Feb 02 00:00:00 EST 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.118.050402· OSTI ID:1783706

^[1]; Novais, E. ^[2]; ^[3]

Duke Univ., Durham, NC (United States); Duke University, Dept of Physics
Federal Univ. of ABC, Santo Andre, SP (Brazil)
Duke Univ., Durham, NC (United States)

In this work, we show that placing a quantum system in contact with an environment can enhance non-Fermi-liquid correlations, rather than destroy quantum effects, as is typical. The system consists of two quantum dots in series with two leads; the highly resistive leads couple charge flow through the dots to the electromagnetic environment, the source of quantum noise. While the charge transport inhibits a quantum phase transition, the quantum noise reduces charge transport and restores the transition. We find a non-Fermi-liquid intermediate fixed point for all strengths of the noise. For strong noise, it is similar to the intermediate fixed point of the two-impurity Kondo model.

View Accepted Manuscript (DOE)

Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: São Paulo Research Foundation (FAPESP); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0005237

OSTI ID:: 1783706

Alternate ID(s):: OSTI ID: 1342450
OSTI ID: 1536476

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 118; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (59)

Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M. Physical Review B, Vol. 53, Issue 13 https://doi.org/10.1103/physrevb.53.8521	journal	April 1996
Exact solution of a boundary conformal field theory Callan, Curtis G.; Klebanov, Igor R.; Ludwig, Andreas W. W. Nuclear Physics B, Vol. 422, Issue 3 https://doi.org/10.1016/0550-3213(94)90440-5	journal	July 1994
Tunneling in quantum wires: A boundary conformal field theory approach Wong, Eugene; Affleck, Ian Nuclear Physics B, Vol. 417, Issue 3 https://doi.org/10.1016/0550-3213(94)90479-0	journal	April 1994
Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line Oshikawa, Masaki; Affleck, Ian Nuclear Physics B, Vol. 495, Issue 3 https://doi.org/10.1016/S0550-3213(97)00219-8	journal	June 1997
Majorana fermions, exact mapping between quantum impurity fixed points with four bulk fermion species, and solution of the “unitarity puzzle” Maldacena, Juan M.; Ludwig, Andreas W. W. Nuclear Physics B, Vol. 506, Issue 3 https://doi.org/10.1016/S0550-3213(97)00596-8	journal	December 1997
The Kondo Problem to Heavy Fermions Hewson, Alexander Cyril https://doi.org/10.1017/CBO9780511470752	book	January 1993
Quantum Transport Nazarov, Yuli V.; Blanter, Yaroslav M. https://doi.org/10.1017/CBO9780511626906	book	January 2009
Quantum phase transition in a resonant level coupled to interacting leads Mebrahtu, Henok T.; Borzenets, Ivan V.; Liu, Dong E. Nature, Vol. 488, Issue 7409 https://doi.org/10.1038/nature11265	journal	August 2012
Exploring the phase diagram of the two-impurity Kondo problem Spinelli, A.; Gerrits, M.; Toskovic, R. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms10046	journal	November 2015
Tomonaga–Luttinger physics in electronic quantum circuits Jezouin, S.; Albert, M.; Parmentier, F. D. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2810	journal	April 2013
Quantum critical states and phase transitions in the presence of non-equilibrium noise Dalla Torre, Emanuele G.; Demler, Eugene; Giamarchi, Thierry Nature Physics, Vol. 6, Issue 10 https://doi.org/10.1038/nphys1754	journal	August 2010
A tunable two-impurity Kondo system in an atomic point contact Bork, Jakob; Zhang, Yong-hui; Diekhöner, Lars Nature Physics, Vol. 7, Issue 11 https://doi.org/10.1038/nphys2076	journal	August 2011
Strong back-action of a linear circuit on a single electronic quantum channel Parmentier, F. D.; Anthore, A.; Jezouin, S. Nature Physics, Vol. 7, Issue 12 https://doi.org/10.1038/nphys2092	journal	September 2011
Observation of Majorana quantum critical behaviour in a resonant level coupled to a dissipative environment Mebrahtu, H. T.; Borzenets, I. V.; Zheng, H. Nature Physics, Vol. 9, Issue 11 https://doi.org/10.1038/nphys2735	journal	September 2013
Emergent SU(4) Kondo physics in a spin–charge-entangled double quantum dot Keller, A. J.; Amasha, S.; Weymann, I. Nature Physics, Vol. 10, Issue 2 https://doi.org/10.1038/nphys2844	journal	December 2013
Impurity quantum phase transitions Vojta, Matthias Philosophical Magazine, Vol. 86, Issue 13-14 https://doi.org/10.1080/14786430500070396	journal	May 2006
Edge magnetic field in the *xxz* spin- chain Affleck, Ian Journal of Physics A: Mathematical and General, Vol. 31, Issue 12 https://doi.org/10.1088/0305-4470/31/12/003	journal	March 1998
Dynamical quantum correlations of Ising models on an arbitrary lattice and their resilience to decoherence Foss-Feig, M.; Hazzard, K. R. A.; Bollinger, J. J. New Journal of Physics, Vol. 15, Issue 11 https://doi.org/10.1088/1367-2630/15/11/113008	journal	November 2013
Quantum correlations in the one-dimensional driven dissipative X Y model Joshi, Chaitanya; Nissen, Felix; Keeling, Jonathan Physical Review A, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevA.88.063835	journal	December 2013
Bosonization of a two-level system with dissipation Guinea, F.; Hakim, V.; Muramatsu, A. Physical Review B, Vol. 32, Issue 7 https://doi.org/10.1103/PhysRevB.32.4410	journal	October 1985
Mean-field analysis of two antiferromagnetically coupled Anderson impurities Jones, B. A.; Kotliar, B. G.; Millis, A. J. Physical Review B, Vol. 39, Issue 5 https://doi.org/10.1103/PhysRevB.39.3415	journal	February 1989
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas Kane, C. L.; Fisher, Matthew P. A. Physical Review B, Vol. 46, Issue 23 https://doi.org/10.1103/PhysRevB.46.15233	journal	December 1992
Coulomb blockade of resonant tunneling Imam, H. T.; Ponomarenko, V. V.; Averin, D. V. Physical Review B, Vol. 50, Issue 24 https://doi.org/10.1103/PhysRevB.50.18288	journal	December 1994
Solution of the two-impurity Kondo model: Critical point, Fermi-liquid phase, and crossover Gan, Junwu Physical Review B, Vol. 51, Issue 13 https://doi.org/10.1103/PhysRevB.51.8287	journal	April 1995
Conformal-field-theory approach to the two-impurity Kondo problem: Comparison with numerical renormalization-group results Affleck, Ian; Ludwig, Andreas W. W.; Jones, Barbara A. Physical Review B, Vol. 52, Issue 13 https://doi.org/10.1103/PhysRevB.52.9528	journal	October 1995
Effects of dissipation on quantum phase transitions Kapitulnik, Aharon; Mason, Nadya; Kivelson, Steven A. Physical Review B, Vol. 63, Issue 12 https://doi.org/10.1103/PhysRevB.63.125322	journal	March 2001
Frustration of decoherence in open quantum systems Novais, E.; Castro Neto, A. H.; Borda, L. Physical Review B, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevB.72.014417	journal	July 2005
Unification of electromagnetic noise and Luttinger liquid via a quantum dot Le Hur, Karyn; Li, Mei-Rong Physical Review B, Vol. 72, Issue 7 https://doi.org/10.1103/PhysRevB.72.073305	journal	August 2005
Interplay of electromagnetic noise and Kondo effect in quantum dots Florens, Serge; Simon, Pascal; Andergassen, Sabine Physical Review B, Vol. 75, Issue 15 https://doi.org/10.1103/PhysRevB.75.155321	journal	April 2007
Quantum phase transitions in a resonant-level model with dissipation: Renormalization-group studies Chung, Chung-Hou; Glossop, Matthew T.; Fritz, Lars Physical Review B, Vol. 76, Issue 23 https://doi.org/10.1103/PhysRevB.76.235103	journal	December 2007
Prospect for observing the quantum critical point in double quantum dot systems Malecki, Justin; Sela, Eran; Affleck, Ian Physical Review B, Vol. 82, Issue 20 https://doi.org/10.1103/PhysRevB.82.205327	journal	November 2010
Two-channel Kondo physics in tunnel-coupled double quantum dots Jayatilaka, Frederic W.; Galpin, Martin R.; Logan, David E. Physical Review B, Vol. 84, Issue 11 https://doi.org/10.1103/PhysRevB.84.115111	journal	September 2011
Erratum: Prospect for observing the quantum critical point in double quantum dot systems [Phys. Rev. B 82 , 205327 (2010)] Malecki, Justin; Sela, Eran; Affleck, Ian Physical Review B, Vol. 84, Issue 15 https://doi.org/10.1103/PhysRevB.84.159907	journal	October 2011
Dynamics and universality in noise-driven dissipative systems Dalla Torre, Emanuele G.; Demler, Eugene; Giamarchi, Thierry Physical Review B, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevB.85.184302	journal	May 2012
Nonequilibrium quantum transport through a dissipative resonant level Chung, Chung-Hou; Le Hur, Karyn; Finkelstein, Gleb Physical Review B, Vol. 87, Issue 24 https://doi.org/10.1103/PhysRevB.87.245310	journal	June 2013
Tunable quantum phase transitions in a resonant level coupled to two dissipative baths Liu, Dong E.; Zheng, Huaixiu; Finkelstein, Gleb Physical Review B, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevB.89.085116	journal	February 2014
Transport signatures of Majorana quantum criticality realized by dissipative resonant tunneling Zheng, Huaixiu; Florens, Serge; Baranger, Harold U. Physical Review B, Vol. 89, Issue 23 https://doi.org/10.1103/PhysRevB.89.235135	journal	June 2014
Theory of Smeared Quantum Phase Transitions Hoyos, José A.; Vojta, Thomas Physical Review Letters, Vol. 100, Issue 24 https://doi.org/10.1103/PhysRevLett.100.240601	journal	June 2008
Nonequilibrium Transport through Double Quantum Dots: Exact Results near a Quantum Critical Point Sela, Eran; Affleck, Ian Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.047201	journal	January 2009
Resonant Pair Tunneling in Double Quantum Dots Sela, Eran; Affleck, Ian Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.087204	journal	August 2009
Interaction-Induced Impeding of Decoherence and Anomalous Diffusion Poletti, Dario; Bernier, Jean-Sébastien; Georges, Antoine Physical Review Letters, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevLett.109.045302	journal	July 2012
Tunable Kondo Physics in a Carbon Nanotube Double Quantum Dot Chorley, S. J.; Galpin, M. R.; Jayatilaka, F. W. Physical Review Letters, Vol. 109, Issue 15 https://doi.org/10.1103/PhysRevLett.109.156804	journal	October 2012
Dynamical Critical Phenomena in Driven-Dissipative Systems Sieberer, L. M.; Huber, S. D.; Altman, E. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.195301	journal	May 2013
Algebraic versus Exponential Decoherence in Dissipative Many-Particle Systems Cai, Zi; Barthel, Thomas Physical Review Letters, Vol. 111, Issue 15 https://doi.org/10.1103/PhysRevLett.111.150403	journal	October 2013
Identifying a Bath-Induced Bose Liquid in Interacting Spin-Boson Models Cai, Zi; Schollwöck, Ulrich; Pollet, Lode Physical Review Letters, Vol. 113, Issue 26 https://doi.org/10.1103/PhysRevLett.113.260403	journal	December 2014
Nonequilibrium Quantum Criticality and Non-Markovian Environment: Critical Exponent of a Quantum Phase Transition Nagy, D.; Domokos, P. Physical Review Letters, Vol. 115, Issue 4 https://doi.org/10.1103/PhysRevLett.115.043601	journal	July 2015
Driven Markovian Quantum Criticality Marino, Jamir; Diehl, Sebastian Physical Review Letters, Vol. 116, Issue 7 https://doi.org/10.1103/PhysRevLett.116.070407	journal	February 2016
Transport in a one-channel Luttinger liquid Kane, C. L.; Fisher, Matthew P. A. Physical Review Letters, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevLett.68.1220	journal	February 1992
Electronic Correlations in Transport through Coupled Quantum Dots Georges, Antoine; Meir, Yigal Physical Review Letters, Vol. 82, Issue 17 https://doi.org/10.1103/PhysRevLett.82.3508	journal	April 1999
Direct Link between Coulomb Blockade and Shot Noise in a Quantum-Coherent Structure Yeyati, A. Levy; Martin-Rodero, A.; Esteve, D. Physical Review Letters, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevLett.87.046802	journal	July 2001
Quantum Magnetic Impurities in Magnetically Ordered Systems Castro Neto, A. H.; Novais, E.; Borda, L. Physical Review Letters, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevLett.91.096401	journal	August 2003
Coulomb Blockade of a Noisy Metallic Box: A Realization of Bose-Fermi Kondo Models Le Hur, Karyn Physical Review Letters, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevLett.92.196804	journal	May 2004
One-Channel Conductor in an Ohmic Environment: Mapping to a Tomonaga-Luttinger Liquid and Full Counting Statistics Safi, I.; Saleur, H. Physical Review Letters, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevLett.93.126602	journal	September 2004
Phase Diagram and Critical Exponents of a Dissipative Ising Spin Chain in a Transverse Magnetic Field Werner, Philipp; Völker, Klaus; Troyer, Matthias Physical Review Letters, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevLett.94.047201	journal	January 2005
Dissipation-Driven Quantum Phase Transitions in a Tomonaga-Luttinger Liquid Electrostatically Coupled to a Metallic Gate Cazalilla, M. A.; Sols, F.; Guinea, F. Physical Review Letters, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevLett.97.076401	journal	August 2006
Quantum Criticality in a Double-Quantum-Dot System Zaránd, Gergely; Chung, Chung-Hou; Simon, Pascal Physical Review Letters, Vol. 97, Issue 16 https://doi.org/10.1103/PhysRevLett.97.166802	journal	October 2006
Dynamics of the dissipative two-state system Leggett, A. J.; Chakravarty, S.; Dorsey, A. T. Reviews of Modern Physics, Vol. 59, Issue 1 https://doi.org/10.1103/RevModPhys.59.1	journal	January 1987
The Kondo Effect in an Artificial Quantum Dot Molecule Jeong, H. Science, Vol. 293, Issue 5538 https://doi.org/10.1126/science.1063182	journal	September 2001
Quantum Dissipative Systems Weiss, Ulrich https://doi.org/10.1142/8334	book	March 2012

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Enhancing violations of Leggett-Garg inequalities in nonequilibrium correlated many-body systems by interactions and decoherence Mendoza-Arenas, J. J.; Gómez-Ruiz, F. J.; Rodríguez, F. J. arXiv https://doi.org/10.48550/arxiv.1903.00016	text	January 2019
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