Dissipative Quantum Mechanics, Quantum Tunneling

1. H. Grabert, P. Hänggi, and P. Talkner
   Is Quantum Mechanics Equivalent to a Classical Stochastic Process?
   Phys. Rev. A 19, 2440–2445 (1979)
2. H. Grabert, U. Weiss, and P. Hänggi
   Quantum Tunneling in Dissipative Systems at Finite Temperatures
   Phys. Rev. Lett. 52, 2193–2196 (1984)
3. H. Grabert, U. Weiss, and P. Hänggi
   Influence of Thermal Fluctuations on Macroscopic Quantum Tunneling
   Physica B/C 126, 957–958 (1984)
4. U. Weiss, P. S. Riseborough, P. Hänggi, and H. Grabert
   Energy Loss in Quantum Tunneling
   Phys. Lett. A 104, 10–15 (1984)
5. U. Weiss, P. S. Riseborough, P. Hänggi, and H. Grabert
   Energy Loss in Quantum Tunneling II
   Phys. Lett. A 104, 492–492 (1984)
6. P. Riseborough, P. Hänggi, and U. Weiss
   Exact Results for a Damped Quantum Mechanical Harmonic Oscillator
   Phys. Rev. A 31, 471–478 (1985)
7. P. Riseborough, P. Hänggi, and E. Freidkin
   Quantum Tunneling in Dissipative Media: Intermediate-Coupling-Strength-Results
   Phys. Rev. A 32, 489–499 (1985)
8. P. Hänggi, H. Grabert, G. L. Ingold, and U. Weiss
   Quantum Theory of Activated Events in Presence of Long-Time Memory
   Phys. Rev. Lett. 55, 761–764 (1985)
9. P. Hänggi, H. Grabert, and U. Weiss
   Dissipative Quantum Decay at Finite Temperatures
   in: Stochastic Processes Applied to Physics, L. Pesquera and M. Rodriguez, eds., pp. 244–248, World Scientific, U.S.-distr., Heyden, Philadelphia (1985)
10. P. Hänggi
    Reaction Rates and Friction: Classical Activation and Quantum Tunneling
    in: Physics News in 1985, P. Schewe, ed., American Institute of Physics (1985), an American Institute of Physics Special Report
11. P. Hänggi
    Reaction Rates and Friction: Classical Activation and Quantum Tunneling
    Physics Today 39, no. 1, 14–14 (1986)
12. P. Hänggi
    Macroscopic Quantum Tunneling at Finite Temperatures
    Annals of the New York Academy of Sciences 480, 51–65 (1986)
13. P. Hänggi, U. Weiss, and P. S. Riseborough
    Quantum Decay into a Continuum at Weak Bias
    Phys. Rev. A 34, 4558–4566 (1986)
14. E. Freidkin, P. S. Riseborough, and P. Hänggi
    Decay of a Metastable State: A Variational Approach
    Phys. Rev. B 34, 1952–1955 (1986)
15. E. Freidkin, P. S. Riseborough, and P. Hänggi
    Decay of a Metastable State: A Variational Approach (Erratum)
    Phys. Rev. B 35, 5298–2598 (1987)
16. E. Freidkin, P. S. Riseborough, and P. Hänggi
    Quantum Tunneling at Low Temperatures: Results for Weak Damping
    Z. Physik B 64, 237–246 (1986)
17. E. Freidkin, P. S. Riseborough, and P. Hänggi
    Quantum Tunneling at Low Temperatures: Results for Weak Damping (Addendum)
    Z. Physik B 67, 271 (1987)
18. E. Freidkin, P. S. Riseborough, and P. Hänggi
    Decay of a Metastable State: A Variational Approximation
    Physica A 142, 178–198 (1987)
19. U. Weiss, H. Grabert, P. Hänggi, and P. Riseborough
    Incoherent Tunneling in a Double Well
    Phys. Rev. B 35, 9535–9551 (1987)
20. P. Hänggi and W. Hontscha
    Phenomenological Shortcut to Dissipative Tunneling
    Phys. Rev. A 36, 2359–2363 (1987)
21. P. Hänggi
    Dissipative Tunneling
    Z. Physik B 68, 181–191 (1987)
22. P. Hänggi and W. Hontscha
    Tunneling in Reaction Theory: The Effect of Memory Friction
    Physica Scripta 37, 559–563 (1988)
23. E. Freidkin, P. S. Riseborough, and P. Hänggi
    The Influence of Dissipation on the Quantal Transition State Tunneling Rate
    J. Phys. C 21, 1543–1549 (1988)
24. P. Hänggi and W. Hontscha
    Unified Approach to the Quantum-Kramers Reaction Rate
    J. Chem. Phys. 88, 4094–4095 (1988), communication
25. W. Hontscha, P. Hänggi, and E. Pollak
    A Numerical Study of Tunneling in a Dissipative System
    Phys. Rev. B 41, 2210–2220 (1990)
26. P. Hänggi
    Dissipative Quantum Tunneling at Finite Temperatures
    in: Noise and Chaos in Nonlinear Dynamical Systems, F. Moss, L. A. Lugiato, and W. Schleich, eds., pp. 187–206, Cambridge University Press (1990)
27. W. Hontscha, P. Hänggi, and E. Pollak
    Anomalous Crossover Behaviour for Dissipative Tunneling
    Physica B 165 & 166, 957–958 (1990)
28. P. Hänggi
    Periodic Orbit Approach to Dissipative Quantum Tunneling at Finite Temperatures
    in: Quantum Fluctuations in Mesoscopic and Macroscopic Systems, H. A. Cerdeira, F. Guinea Lopez, and U. Weiss, eds., pp. 73–96, World Scientific, Singapore, London, Hong Kong (1991)
29. P. Hänggi and C. Zerbe
    Dissipative Quantum Noise in a Parametric Oscillator
    in: Noise in Physical Systems and 1/f Fluctuations, P. H. Chung and A. L. Handel, eds.
    AIP Conf. Proc., vol. 285, pp. 481–486, American Institute of Physics, New York (1993)
30. P. S. Riseborough and P. Hänggi
    The Influence of Non-linear Dissipation on Non-equilibrium Quantum Tunneling Processes
    in: Tunneling and its Implications, D. Mugnai, A. Ranfagni, and L. S. Schulman, eds., pp. 356–370, World Scientific, Singapore (1997)
31. T. Dittrich, P. Hänggi, G. L. Ingold, B. Kramer, G. Schön, and W. Zwerger, Quantum Transport and Dissipation, Wiley-VCH, Weinheim (1998), ISBN 3-527-29261-6
32. J. S. Shao, C. Zerbe, and P. Hänggi
    Suppression of Quantum Coherence: Noise Effect
    Chemical Physics 235, 81–92 (1998)
33. J. S. Shao and P. Hänggi
    Decoherent dynamics of a two-level system coupled to a sea of spins
    Phys. Rev. Lett. 81, 5710–5713 (1998)
34. M. Thorwart, M. Grifoni, and P. Hänggi
    Strong coupling theory for driven tunneling and vibrational relaxation
    Phys. Rev. Lett. 85, 860–863 (2000), [arXiv:quant-ph/9912024]
35. E. G. Petrov and P. Hänggi
    Nonlinear Electron Current through a Short Molecular Wire
    Phys. Rev. Lett. 86, 2862–2865 (2001)
36. J. Casado Pascual, I. Goychuk, M. Morillo, and P. Hänggi
    Solvent controlled charge transfer dynamics on diabatic surfaces with different curvatures
    Chem. Phys. Lett. 360, 333–339 (2002)
37. J. Casado Pascual, M. Morillo, I. Goychuk, and P. Hänggi
    The role of different reorganization energies within Zusman theory of electron transfer
    J. Chem. Phys. 118, 291–303 (2003)
38. G. L. Ingold, A. Wobst, C. Aulbach, and P. Hänggi
    Delocalization and Heisenberg's uncertainty relation
    Eur. Phys. J. B 30, 175–179 (2002), [arXiv:cond-mat/0205039]
39. S. Camalet, J. Lehmann, S. Kohler, and P. Hänggi
    Current noise in ac-driven nanoscale conductors
    Phys. Rev. Lett. 90, 210602 (2003), [arXiv:cond-mat/0212247]
40. E. G. Petrov, V. May, and P. Hänggi
    Spin-boson description of electron transmission through a molecular wire
    Chemical Physics 296, 251–266 (2004)
41. P. Hänggi
    Use and abuse of quantum noise
    in: Noise and Fluctuations, ICNF 2003, J. Sikula, ed., pp. 75–76, CNRL s.r.o., Brno, Czech Republic (2003)
42. K. M. Fonseca Romero, P. Talkner, and P. Hänggi
    Is the dynamics of open quantum systems always linear?
    Phys. Rev. A 69, 052109 (2004), [arXiv:quant-ph/0311077]
43. J. Lehmann, S. Kohler, V. May, and P. Hänggi
    Vibrational effects in laser-driven molecular wires
    J. Chem. Phys. 121, 2278–2288 (2004), [arXiv:cond-mat/0403614]
44. L. Machura, M. Kostur, P. Hänggi, P. Talkner, and J. Luczka
    Consistent description of quantum Brownian motors operating at strong friction
    Phys. Rev. E 70, 031107 (2004)
45. P. Hänggi and G. L. Ingold
    Fundamental aspects of quantum Brownian motion
    Chaos 15, 026105 (2005), [arXiv:quant-ph/0412052]
46. J. Luczka, R. Rudnicki, and P. Hänggi
    The diffusion in the quantum Smoluchowski equation
    Physica A 351, 60–68 (2005)
47. I. Goychuk and P. Hänggi
    Quantum dynamics in strong fluctuating fields
    Adv. Physics 54, 525–584 (2005), [arXiv:cond-mat/0510774]
48. I. Goychuk and P. Hänggi
    Quantum two-state dynamics driven by stationary non-Markovian discrete noise: exact results
    Chem. Phys. 324, 160–171 (2006), [arXiv:cond-mat/0601219]
49. S. Kohler and P. Hänggi
    Improving the purity of one- and two-qubit gates by AC-fields
    Fortschritte der Physik 54, 804–819 (2006), [arXiv:quant-ph/0509085]
50. P. Hänggi and G. L. Ingold
    Quantum Brownian motion and the third law of thermodynamics
    Acta Physica Polonica B 37, 1537–1550 (2006), [arXiv:quant-ph/0601056]
51. L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hänggi
    Quantum diffusion in biased washboard potentials: strong friction limit
    Phys. Rev. E 73, 031105 (2006), [arXiv:cond-mat/0511597]
52. R. Doll, M. Wubs, P. Hänggi, and S. Kohler
    Limitation of entanglement due to spatial qubit separation
    Europhys. Lett. 76, 547–553 (2006), [arXiv:cond-mat/0608526]
53. M. Wubs, K. Saito, S. Kohler, P. Hänggi, and Y. Kayanuma
    Gauging a quantum heat bath with dissipative Landau-Zener transitions
    Phys. Rev. Lett 97, 200404 (2006), [arXiv:cond-mat/0608333]
54. P. Hänggi
    Quantum dissipation: A primer
    in: Dynamics of Open Quantum Systems, pp. 1–8, CCP6, Daresbury (2007)
55. F. J. Kaiser, P. Hänggi, and S. Kohler
    Coulomb repulsion effects in driven electron transport
    Eur. Phys. J. B 54, 201–209 (2006), [arXiv:cond-mat/0606457]
56. I. Goychuk, J. Casado Pascual, M. Morillo, J. Lehmann, and P. Hänggi
    Quantum stochastic synchronization
    Phys. Rev. Lett. 97, 210601 (2006), [arXiv:cond-mat/0603400]
57. L. Machura, J. Luczka, P. Talkner, and P. Hänggi
    Transport of forced quantum motors in the strong friction limit
    Acta Physica Polonica B 38, 1855–1863 (2007)
58. M. Wubs, S. Kohler, and P. Hänggi
    Entanglement creation in circuit QED via Landau-Zener sweeps
    Physica E 40, 187–197 (2007), [arXiv:cond-mat/0703425]
59. K. Saito, M. Wubs, S. Kohler, Y. Kayanuma, and P. Hänggi
    Dissipative Landau-Zener transitions of a qubit: Bath-specific and universal behavior
    Phys. Rev. B 75, 214308 (2007), [arXiv:cond-mat/0703596]
60. R. Doll, M. Wubs, P. Hänggi, and S. Kohler
    Incomplete pure dephasing of N-qubit entangled W states
    Phys. Rev. B 76, 045317 (2007), [arXiv:cond-mat/0703075]
61. R. Doll, D. Zueco, M. Wubs, S. Kohler, and P. Hänggi
    On the conundrum of deriving exact solutions from approximate master equations
    Chem. Phys. 347, 243–249 (2008)
62. F. J. Kaiser, S. Kohler, P. Hänggi, M. Malecha, J. Ebbecke, A. Wixforth, H. W. Schumacher, B. Kästner, D. Reuter, and A. D. Wieck
    Theoretical and experimental investigations of Coulomb blockade in coupled quantum dot systems
    J. Phys. - Condensed Matter 20, 374108 (2008), [arXiv:0802.2799]
63. Q. Zhang, P. Hänggi, and J. Gong
    Nonlinear Landau-Zener processes in a periodic driving field
    New J. Phys. 10, 073008 (2008), [arXiv:0804.4538]
64. P. Hänggi, G. L. Ingold, and P. Talkner
    Finite quantum dissipation: the challenge of obtaining specific heat
    New J. Phys. 10, 115008 (2008), [arXiv:0805.3974]
65. D. Zueco, P. Hänggi, and S. Kohler
    Landau-Zener tunnelling in dissipative circuit QED
    New J. Phys. 10, 115012 (2008), [arXiv:0807.1748]
66. J. Dajka, J. Luczka, and P. Hänggi
    Entanglement swapping in dephasing environments
    physica status solidi (b) 246, 936–940 (2009)
67. S. Kohler, P. Hänggi, and M. Wubs
    Bath-independent transition probabilities in the dissipative Landau-Zener problem
    in: Path Integrals: New Trends and Perspectives, W. Janke and A. Pelster, eds., pp. 456–461, World Scientific, Singapore (2008)
68. S. Denisov, S. Kohler, and P. Hänggi
    Underdamped quantum ratchets
    EPL 85, 40003 (2009), [arXiv:0807.0196]
69. R. Doll, P. Hänggi, S. Kohler, and M. Wubs
    Fast initial qubit dephasing and the influence of substrate dimensions on error correction rates
    Eur. Phys. J. B 68, 523–527 (2009), [arXiv:0807.2555]
70. M. Campisi, P. Talkner, and P. Hänggi
    Fluctuation theorem for arbitrary open quantum systems
    Phys. Rev. Lett. 102, 210401 (2009), [arXiv:0902.3879]
71. G. L. Ingold, P. Hänggi, and P. Talkner
    Specific heat anomalies of open quantum systems
    Phys. Rev. E 79, 061105 (2009), [arXiv:0811.3509]
72. J. Gong, L. Morales-Molina, and P. Hänggi
    Many-body coherent destruction of tunneling
    Phys. Rev. Lett. 103, 133002 (2009), [arXiv:0909.0072]
73. M. Campisi, P. Talkner, and P. Hänggi
    Thermodynamics and fluctuation theorems for a strongly coupled open quantum system: an exactly solvable case
    J. Phys. A (Fast Track Communication) 42, 392002 (2009), [arXiv:0907.1590]
74. G. M. Reuther, D. Zueco, F. Deppe, E. Hoffmann, E. P. Menzel, T. Weißl, M. Mariantoni, S. Kohler, A. Marx, E. Solano, R. Gross, and P. Hänggi
    Two-resonator circuit QED: Dissipative theory
    Phys. Rev. B 81, 144510 (2010), [arXiv:0911.2657]
75. F. Galve, D. Zueco, G. M. Reuther, S. Kohler, and P. Hänggi
    Creation and manipulation of entanglement in spin chains far from equilibrium
    Eur. Phys. J. - ST (Special Topics) 180, 237–246 (2010), [arXiv:1003.4846]
76. J. Ren, P. Hänggi, and B. Li
    Berry-phase induced heat pumping and its impact on the fluctuation theorem
    Phys. Rev. Lett. 104, 170601 (2010), [arXiv:1003.1611]
77. J. Dajka, J. Luczka, and P. Hänggi
    Geometric phase as a determinant of a qubit-environment coupling
    Quantum Inf. Process. 10, 85–96 (2011), [arXiv:1004.3432]
78. G. M. Reuther, D. Zueco, P. Hänggi, and S. Kohler
    Monitoring entanglement evolution and collective quantum dynamics
    Phys. Rev. B 83, 014303 (2011), [arXiv:1007.5493]
79. G. M. Reuther, D. Zueco, P. Hänggi, and S. Kohler
    Time-resolved qubit readout via nonlinear Josephson inductance
    New J. Phys. 13, 093022 (2011), [arXiv:1105.1105]
80. A. Dhar, K. Saito, and P. Hänggi
    Nonequilibrium density matrix description of steady state quantum transport
    Phys. Rev. E 85, 011126 (2012), [arXiv:1106.3207]
81. J. Thingna, J. S. Wang, and P. Hänggi
    Generalized Gibbs state with modified Redfield solution: Exact agreement up to second order
    J. Chem. Phys. 136, 194110 (2012), [arXiv:1203.6207]
82. T. Hümmer, G. M. Reuther, P. Hänggi, and D. Zueco
    Nonequilibrium phases in hybrid arrays with flux qubits and NV centers
    Phys. Rev. A 85, 052320 (2012), [arXiv:1203.1857]
83. G. M. Reuther, P. Hänggi, and S. Kohler
    Non-Markovian qubit decoherence during dispersive readout
    Phys. Rev. A 85, 062123 (2012), [arXiv:1205.2315]
84. M. Campisi, S. Denisov, and P. Hänggi
    Geometric magnetism in open quantum systems
    Phys. Rev. A 86, 032114 (2012), [arXiv:1206.0671]
85. J. Dajka, M. Mierzejewski, J. Luczka, R. Blattmann, and P. Hänggi
    Negativity and quantum discord in Davies environments
    J. Phys. A 45, 485306 (2012), [arXiv:1209.1536]
86. S. Savel'ev, W. Häusler, and P. Hänggi
    Current resonances in graphene with time-dependent potential barriers
    Phys. Rev. Lett. 109, 226602 (2012), [arXiv:1210.7609]
87. S. E. Savel'ev, W. Häusler, and P. Hänggi
    Josephson-like currents in graphene for arbitrary time-dependent potential barriers
    Eur. Phys. J. B 86, 433 (2013), [arXiv:1107.4983]
88. J. Thingna, P. Hänggi, R. Fazio, and M. Campisi
    Geometric quantum pumping in the presence of dissipation
    Phys. Rev. B 90, 094517 (2014), [arXiv:1403.3523]
89. R. Blattmann, P. Hänggi, and S. Kohler
    Qubit interference at avoided crossings: the role of driving shape and bath coupling
    Phys. Rev. A 91, 042109 (2015), [arXiv:1409.5237]
90. T. Shirai, J. Thingna, T. Mori, S. Denisov, P. Hänggi, and S. Miyashita
    Effective Floquet-Gibbs states for dissipative quantum systems
    New J. Phys. 18, 053008 (2016), [arXiv:1511.06864]
91. Y. Zheng, P. Hänggi, and D. Poletti
    Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
    Phys. Rev. E 94, 012137 (2016), [arXiv:1604.00489]
92. L. Magazzu, P. Hänggi, B. Spagnolo, and D. Valenti
    Quantum resonant activation
    Phys. Rev. E 95, 042104 (2017), [arXiv:1701.04393]
93. M. Hartmann, D. Poletti, M. Ivanchenko, S. Denisov, and P. Hänggi
    Asymptotic Floquet states of open quantum systems: The role of interactions
    New J. Phys. 19, 083011 (2017), [arXiv:1606.03896]
94. L. Magazzu, S. Denisov, and P. Hänggi
    Asymptotic Floquet states of non-Markovian systems
    Phys. Rev. A 96, 042103 (2017), ibid, erratum, Phys. Rev. A 97, 059902 (E) (2018), [arXiv:1707.02928]
95. V. Volokitin, A. Liniov, I. Meyerov, M. Hartmann, M. Ivanchenko, P. Hänggi, and S. Denisov
    Computation of the asymptotic states of modulated open quantum systems with a numerically exact realization of the quantum trajectory method
    Phys. Rev. E 96, 053313 (2017), [arXiv:1612.03848]
96. L. Magazzu, P. Talkner, and P. Hänggi
    Quantum Brownian motion under generalized measurements: A converse Zeno scenario
    New J. Phys. 20, 033001 (2018), [arXiv:1710.10209]
97. L. Magazzu, S. Denisov, and P. Hänggi
    Asymptotic Floquet states of a periodically driven spin-boson system in the nonperturbative coupling regime
    Phys. Rev. E 98, 022111 (2018), [arXiv:1804.08764]
98. M. Campisi and P. Hänggi
    Comment on: Experimental verification of a Jarzynski-related information-theoretic equality by a single trapped ion
    Phys. Rev. Lett. 121, 088901 (2018), [arXiv:1802.01382]

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Hanggi@Physik.Uni-Augsburg.DE, Oct 2, 2025