Real-time transport in open quantum systems from PT -symmetric quantum mechanics

Elenewski, Justin E.; Chen, Hanning

doi:10.1103/PhysRevB.90.085104

Title: Real-time transport in open quantum systems from $PT$ -symmetric quantum mechanics

Journal Article · Wed Aug 06 00:00:00 EDT 2014 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.90.085104· OSTI ID:1180086

Elenewski, Justin E.; Chen, Hanning

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: DE–AC02–06CH11357

OSTI ID:: 1180086

Journal Information:: Physical Review B, Journal Name: Physical Review B Vol. 90 Journal Issue: 8; ISSN 1098-0121

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 11 works

Citation information provided by
Web of Science

References (41)

Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries Mostafazadeh, Ali Journal of Mathematical Physics, Vol. 43, Issue 8 https://doi.org/10.1063/1.1489072	journal	August 2002
Unidirectional Invisibility Induced by $P T$ -Symmetric Periodic Structures Lin, Zin; Ramezani, Hamidreza; Eichelkraut, Toni Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.213901	journal	May 2011
Conductance viewed as transmission Imry, Yoseph; Landauer, Rolf Reviews of Modern Physics, Vol. 71, Issue 2 https://doi.org/10.1103/RevModPhys.71.S306	journal	March 1999
Complex absorbing potentials Muga, J.; Palao, J.; Navarro, B. Physics Reports, Vol. 395, Issue 6 https://doi.org/10.1016/j.physrep.2004.03.002	journal	June 2004
Exact PT -symmetry is equivalent to Hermiticity Mostafazadeh, Ali Journal of Physics A: Mathematical and General, Vol. 36, Issue 25 https://doi.org/10.1088/0305-4470/36/25/312	journal	June 2003
Investigation on the reflection and transmission properties of complex absorbing potentials Riss, U. V.; Meyer, H. ‐D. The Journal of Chemical Physics, Vol. 105, Issue 4 https://doi.org/10.1063/1.472003	journal	July 1996
Use of negative complex potential as absorbing potential Ge, Jiu-Yuan; Zhang, John Z. H. The Journal of Chemical Physics, Vol. 108, Issue 4 https://doi.org/10.1063/1.475514	journal	January 1998
Nonreciprocal waveguide Bragg gratings Kulishov, Mykola; Laniel, Jacques M.; Bélanger, Nicolas Optics Express, Vol. 13, Issue 8 https://doi.org/10.1364/OPEX.13.003068	journal	January 2005
Non-Hermitian Quantum Mechanics Moiseyev, Nimrod https://doi.org/10.1017/CBO9780511976186	book	May 2011
Real Spectra in Non-Hermitian Hamiltonians Having $P T$ Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
Complex Extension of Quantum Mechanics Bender, Carl M.; Brody, Dorje C.; Jones, Hugh F. Physical Review Letters, Vol. 89, Issue 27 https://doi.org/10.1103/PhysRevLett.89.270401	journal	December 2002
The time‐dependent Schrödinger equation: Application of absorbing boundary conditions Neuhasuer, Daniel; Baer, Michael The Journal of Chemical Physics, Vol. 90, Issue 8 https://doi.org/10.1063/1.456646	journal	April 1989
Time-dependent quantum transport: An exact formulation based on TDDFT Stefanucci, G.; Almbladh, C. -O Europhysics Letters (EPL), Vol. 67, Issue 1 https://doi.org/10.1209/epl/i2004-10043-7	journal	July 2004
Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian Mostafazadeh, Ali Journal of Mathematical Physics, Vol. 43, Issue 1 https://doi.org/10.1063/1.1418246	journal	January 2002
Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum Mostafazadeh, Ali Journal of Mathematical Physics, Vol. 43, Issue 5 https://doi.org/10.1063/1.1461427	journal	January 2002
Making sense of non-Hermitian Hamiltonians Bender, Carl M. Reports on Progress in Physics, Vol. 70, Issue 6 https://doi.org/10.1088/0034-4885/70/6/R03	journal	May 2007
Unidirectional nonlinear $PT$ -symmetric optical structures Ramezani, Hamidreza; Kottos, Tsampikos; El-Ganainy, Ramy Physical Review A, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevA.82.043803	journal	October 2010
Derivation and reflection properties of a transmission-free absorbing potential Manolopoulos, David E. The Journal of Chemical Physics, Vol. 117, Issue 21 https://doi.org/10.1063/1.1517042	journal	December 2002
A fast explicit algorithm for the time-dependent Schrödinger equation Visscher, P. B. Computers in Physics, Vol. 5, Issue 6 https://doi.org/10.1063/1.168415	journal	January 1991
Self-Consistent Equations Including Exchange and Correlation Effects Kohn, W.; Sham, L. J. Physical Review, Vol. 140, Issue 4A, p. A1133-A1138 https://doi.org/10.1103/PhysRev.140.A1133	journal	November 1965
A non-Hermitian Hamilton operator and the physics of open quantum systems Rotter, Ingrid Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 15 https://doi.org/10.1088/1751-8113/42/15/153001	journal	March 2009
Optical Solitons in $P T$ Periodic Potentials Musslimani, Z. H.; Makris, K. G.; El-Ganainy, R. Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.030402	journal	January 2008
Observation of $P T$ -Symmetry Breaking in Complex Optical Potentials Guo, A.; Salamo, G. J.; Duchesne, D. Physical Review Letters, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevLett.103.093902	journal	August 2009
Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics Mostafazadeh, Ali Physical Review Letters, Vol. 99, Issue 13 https://doi.org/10.1103/PhysRevLett.99.130502	journal	September 2007
Conservation relations and anisotropic transmission resonances in one-dimensional $PT$ -symmetric photonic heterostructures Ge, Li; Chong, Y. D.; Stone, A. D. Physical Review A, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevA.85.023802	journal	February 2012
Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling Moiseyev, N. Physics Reports, Vol. 302, Issue 5-6 https://doi.org/10.1016/S0370-1573(98)00002-7	journal	September 1998
Electrical Transport in Nanoscale Systems Di Ventra, Massimiliano https://doi.org/10.1017/CBO9780511755606	book	January 2008
Observation of parity–time symmetry in optics Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy Nature Physics, Vol. 6, Issue 3 https://doi.org/10.1038/nphys1515	journal	January 2010
Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics Dorey, Patrick; Dunning, Clare; Tateo, Roberto Journal of Physics A: Mathematical and General, Vol. 34, Issue 28 https://doi.org/10.1088/0305-4470/34/28/305	journal	July 2001
Parametrization of complex absorbing potentials for time-dependent quantum dynamics Vibok, A.; Balint-Kurti, G. G. The Journal of Physical Chemistry, Vol. 96, Issue 22 https://doi.org/10.1021/j100201a012	journal	October 1992
Absorbing boundaries for wave propagation problems Kosloff, R.; Kosloff, D. Journal of Computational Physics, Vol. 63, Issue 2 https://doi.org/10.1016/0021-9991(86)90199-3	journal	April 1986
Density-Functional Theory for Time-Dependent Systems Runge, Erich; Gross, E. K. U. Physical Review Letters, Vol. 52, Issue 12 https://doi.org/10.1103/PhysRevLett.52.997	journal	March 1984
Local $P T$ Symmetry Violates the No-Signaling Principle Lee, Yi-Chan; Hsieh, Min-Hsiu; Flammia, Steven T. Physical Review Letters, Vol. 112, Issue 13 https://doi.org/10.1103/PhysRevLett.112.130404	journal	April 2014
Molecular Transport Junctions: Clearing Mists Lindsay, S. M.; Ratner, M. A. Advanced Materials, Vol. 19, Issue 1 https://doi.org/10.1002/adma.200601140	journal	January 2007
Parity–time synthetic photonic lattices Regensburger, Alois; Bersch, Christoph; Miri, Mohammad-Ali Nature, Vol. 488, Issue 7410 https://doi.org/10.1038/nature11298	journal	August 2012
Generalized Bloch theorem for complex periodic potentials: A powerful application to quantum transport calculations Zhang, X. -G.; Varga, Kalman; Pantelides, Sokrates T. Physical Review B, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevB.76.035108	journal	July 2007
Experimental Demonstration of a Coherent Perfect Absorber with PT Phase Transition Sun, Yong; Tan, Wei; Li, Hong-qiang Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.143903	journal	April 2014
Time-dependent quantum transport: A practical scheme using density functional theory Kurth, S.; Stefanucci, G.; Almbladh, C. -O. Physical Review B, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevB.72.035308	journal	July 2005
Charge transfer and “band lineup” in molecular electronic devices: A chemical and numerical interpretation Xue, Yongqiang; Datta, Supriyo; Ratner, Mark A. The Journal of Chemical Physics, Vol. 115, Issue 9 https://doi.org/10.1063/1.1391253	journal	September 2001
Invisibility in $\mathcal {PT}$-symmetric complex crystals Longhi, Stefano Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 48 https://doi.org/10.1088/1751-8113/44/48/485302	journal	November 2011
Time-dependent transport through molecular junctions Ke, San-Huang; Liu, Rui; Yang, Weitao The Journal of Chemical Physics, Vol. 132, Issue 23 https://doi.org/10.1063/1.3435351	journal	June 2010

Similar Records

Stability of

PT

and anti-

PT

-symmetric Hamiltonians with multiple harmonics

Journal Article · Wed Feb 14 00:00:00 EST 2024 · Physical Review Research · OSTI ID:1180086

Cen, Julia; Joglekar, Yogesh N.; Saxena, Avadh

Infinite Class of

PT

-Symmetric Theories from One Timelike Liouville Lagrangian

Journal Article · Wed Dec 03 00:00:00 EST 2014 · Physical Review Letters · OSTI ID:1180086

Bender, Carl M.; Hook, Daniel W.; Mavromatos, Nick E.; +1 more

Critical behavior of the

P T

-symmetric

i ϕ^{3}

quantum field theory

Journal Article · Tue Apr 16 00:00:00 EDT 2013 · Physical Review D · OSTI ID:1180086

Bender, Carl M.; Branchina, V.; Messina, Emanuele

Title: Real-time transport in open quantum systems from PT -symmetric quantum mechanics

Citation Formats

References (41)

Similar Records

Related Subjects

Title: Real-time transport in open quantum systems from $PT$ -symmetric quantum mechanics